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Finding the Fourth Proportional to 413,591.52, 619,992.96 and 132,911.52

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Solution

The fourth proportional to 413,591.52, 619,992.96 and 132,911.52 is: 199,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,591.52 : 619,992.96 = 132,911.52 : x
  2. Step 2: Convert to fraction form
    413,591.52/619,992.96 = 132,911.52/x
  3. Step 3: Cross multiply
    413,591.52x = 619,992.96 × 132,911.52
  4. Step 4: Simplify right side
    413,591.52x = 82,404,206,702.90
  5. Step 5: Solve for x
    x = 82,404,206,702.90/413,591.52
  6. Step 6: Final answer
    x = 199,240.56

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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.