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Finding the Fourth Proportional to 381,463.83, 572,217.01 and 115,217.24

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Solution

The fourth proportional to 381,463.83, 572,217.01 and 115,217.24 is: 172,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,463.83 : 572,217.01 = 115,217.24 : x
  2. Step 2: Convert to fraction form
    381,463.83/572,217.01 = 115,217.24/x
  3. Step 3: Cross multiply
    381,463.83x = 572,217.01 × 115,217.24
  4. Step 4: Simplify right side
    381,463.83x = 65,929,261,424.12
  5. Step 5: Solve for x
    x = 65,929,261,424.12/381,463.83
  6. Step 6: Final answer
    x = 172,832.27

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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.