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Finding the Fourth Proportional to 417,675.20, 626,512.80 and 137,124.80

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Solution

The fourth proportional to 417,675.20, 626,512.80 and 137,124.80 is: 205,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,675.20 : 626,512.80 = 137,124.80 : x
  2. Step 2: Convert to fraction form
    417,675.20/626,512.80 = 137,124.80/x
  3. Step 3: Cross multiply
    417,675.20x = 626,512.80 × 137,124.80
  4. Step 4: Simplify right side
    417,675.20x = 85,910,442,397.44
  5. Step 5: Solve for x
    x = 85,910,442,397.44/417,675.20
  6. Step 6: Final answer
    x = 205,687.20

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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.