414 US customary cups in dry gallons
Result
The conversion result is: 414 US customary cups is equivalent to 22.236121315836 dry gallons.[1]
Conversion formula
How to convert 414 US customary cups to dry gallons?
We know (by definition) that: 1 uscup ≈ 0.0537104379609565 drygallon.
We can set up a proportion to solve for the number of dry gallons.
1 uscup / 414 uscup ≈ 0.0537104379609565 drygallon / x drygallon
Now, we cross multiply to solve for our unknown x:
x drygallon ≈ (414 uscup / 1 uscup) * 0.0537104379609565 drygallon → x drygallon ≈ 22.23612131583599 drygallon
Conclusion:
414 uscup ≈ 22.23612131583599 drygallon

Conversion in the opposite direction
The inverse of the conversion factor is that 1 dry gallon is equal to 0.0449718719283937 times 414 US customary cups.
It can also be expressed as: 414 US customary cups is equal to 1 / 0.0449718719283937 dry gallons.
Approximation
An approximate numerical result would be: four hundred and fourteen US customary cups is about twenty-two point two three dry gallons, or alternatively, a dry gallon is about zero point zero four times four hundred and fourteen US customary cups.
Footnotes
[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).
Results may contain small errors due to the use of floating point arithmetic.