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Finding the Fourth Proportional to 410,839.20, 617,295.60 and 261,151.20

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Solution

The fourth proportional to 410,839.20, 617,295.60 and 261,151.20 is: 392,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,839.20 : 617,295.60 = 261,151.20 : x
  2. Step 2: Convert to fraction form
    410,839.20/617,295.60 = 261,151.20/x
  3. Step 3: Cross multiply
    410,839.20x = 617,295.60 × 261,151.20
  4. Step 4: Simplify right side
    410,839.20x = 161,207,486,694.72
  5. Step 5: Solve for x
    x = 161,207,486,694.72/410,839.20
  6. Step 6: Final answer
    x = 392,385.85

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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.