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Finding the Fourth Proportional to 542,044.61, 813,811.72 and 275,983.91

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Solution

The fourth proportional to 542,044.61, 813,811.72 and 275,983.91 is: 414,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,044.61 : 813,811.72 = 275,983.91 : x
  2. Step 2: Convert to fraction form
    542,044.61/813,811.72 = 275,983.91/x
  3. Step 3: Cross multiply
    542,044.61x = 813,811.72 × 275,983.91
  4. Step 4: Simplify right side
    542,044.61x = 224,598,940,489.43
  5. Step 5: Solve for x
    x = 224,598,940,489.43/542,044.61
  6. Step 6: Final answer
    x = 414,355.09

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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.