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Finding the Fourth Proportional to 431,575.92, 647,336.70 and 132,032.70

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Solution

The fourth proportional to 431,575.92, 647,336.70 and 132,032.70 is: 198,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,575.92 : 647,336.70 = 132,032.70 : x
  2. Step 2: Convert to fraction form
    431,575.92/647,336.70 = 132,032.70/x
  3. Step 3: Cross multiply
    431,575.92x = 647,336.70 × 132,032.70
  4. Step 4: Simplify right side
    431,575.92x = 85,469,612,310.09
  5. Step 5: Solve for x
    x = 85,469,612,310.09/431,575.92
  6. Step 6: Final answer
    x = 198,040.73

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Why These Related Problems?

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