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Finding the Fourth Proportional to 381,680.80, 572,521.20 and 361,997.80

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Solution

The fourth proportional to 381,680.80, 572,521.20 and 361,997.80 is: 542,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,680.80 : 572,521.20 = 361,997.80 : x
  2. Step 2: Convert to fraction form
    381,680.80/572,521.20 = 361,997.80/x
  3. Step 3: Cross multiply
    381,680.80x = 572,521.20 × 361,997.80
  4. Step 4: Simplify right side
    381,680.80x = 207,251,414,853.36
  5. Step 5: Solve for x
    x = 207,251,414,853.36/381,680.80
  6. Step 6: Final answer
    x = 542,996.70

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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.