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Finding the Fourth Proportional to 334,540.68, 461,456.16 and 198,478.32

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Solution

The fourth proportional to 334,540.68, 461,456.16 and 198,478.32 is: 273,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,540.68 : 461,456.16 = 198,478.32 : x
  2. Step 2: Convert to fraction form
    334,540.68/461,456.16 = 198,478.32/x
  3. Step 3: Cross multiply
    334,540.68x = 461,456.16 × 198,478.32
  4. Step 4: Simplify right side
    334,540.68x = 91,589,043,390.45
  5. Step 5: Solve for x
    x = 91,589,043,390.45/334,540.68
  6. Step 6: Final answer
    x = 273,775.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.