A three-marker test cross

A heterozygous insect is test-crossed with a triple-recessive insect. Offspring report the heterozygote's gametes: ABC 348, abc 352, Abc 72, aBC 68, ABc 28, abC 32, AbC 49, aBc 51. Assume the two largest classes are parental, the two smallest are double crossovers, viability is equal, and no triple crossover occurs. Recombination fraction between a pair is the fraction of offspring recombinant for that pair. An interval map distance is estimated as 100 × its recombination fraction.