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Finding the Fourth Proportional to 381,632.24, 572,710.82 and 132,314.24

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Solution

The fourth proportional to 381,632.24, 572,710.82 and 132,314.24 is: 198,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,632.24 : 572,710.82 = 132,314.24 : x
  2. Step 2: Convert to fraction form
    381,632.24/572,710.82 = 132,314.24/x
  3. Step 3: Cross multiply
    381,632.24x = 572,710.82 × 132,314.24
  4. Step 4: Simplify right side
    381,632.24x = 75,777,796,888.08
  5. Step 5: Solve for x
    x = 75,777,796,888.08/381,632.24
  6. Step 6: Final answer
    x = 198,562.36

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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.