Mullins Corporation uses the FIFO method in its process costing system. Data concerning the first processing department for the most recent month are listed below:Beginning work in process inventory:Units in beginning work in process inventory$1,550$Materials costs$ $13,200$Conversion costs$ $23,050$Percent complete with respect to materials$75\%$Percent complete with respect to conversion$65\%$Units started into production during the month$10,300$Units transferred to the next department during the month$9,500$Materials costs added during the month$ $176,300$Conversion costs added during the month$ $365,500$Ending work in process inventory:Units in ending work in process inventory$2,350$Percent complete with respect to materials$65\%$Percent complete with respect to conversion$50\%$The total cost transferred from the first processing department to the next processing department during the month is closest to: $($Round equivalent units to the nearest whole number and round all other intermediate calculations to $3$ decimal places.$)$Group of answer choices$$527,475$$$565,923$$$493,775$$$506,320$