The result of your conversion between grain/gallon [US] and grain/cubic inch appears here
To convert between Grain/gallon [US] and Grain/cubic Inch you have to do the following:
First divide ((0.45359237/16)*(192/175)/480)/0.0037854118 / ((0.45359237/16)*(192/175)/480)/(0.0037854118/231) = 0.004329
Then multiply the amount of Grain/gallon [US] you want to convert to Grain/cubic Inch, use the chart below to guide you.
Symbol: gr/gal
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Symbol: gr/in³
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