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Finding the Fourth Proportional to 410,732.40, 616,098.60 and 233,785.20

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Solution

The fourth proportional to 410,732.40, 616,098.60 and 233,785.20 is: 350,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,732.40 : 616,098.60 = 233,785.20 : x
  2. Step 2: Convert to fraction form
    410,732.40/616,098.60 = 233,785.20/x
  3. Step 3: Cross multiply
    410,732.40x = 616,098.60 × 233,785.20
  4. Step 4: Simplify right side
    410,732.40x = 144,034,734,420.72
  5. Step 5: Solve for x
    x = 144,034,734,420.72/410,732.40
  6. Step 6: Final answer
    x = 350,677.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.