Convert from bale [US] to carat [international]

Unit Definition (bale [US])
The bale [US] is a commercial unit of weight for shipments of cotton. In the United States, one bale of cotton, formerly equal to 500 pounds (226.80 kg), is now equal to 480 pounds (217.72 kg). Other countries use a variety of cotton bale weights.

Unit Definition (carat [international])
The carat [international] is a unit of mass used for diamonds and other precious stones. Originally spelled karat, the word comes from the Greek keration, a carob bean; carob beans were used as standards of weight and length in ancient Greece in much the same way barleycorns were used in old England. Traditionally the carat was equal to 4 grains. The definition of the grain differed from one country to another, but typically it was about 50 milligrams and thus the carat was about 200 milligrams.