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Finding the Fourth Proportional to 413,475.71, 619,819.83 and 132,796.13

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Solution

The fourth proportional to 413,475.71, 619,819.83 and 132,796.13 is: 199,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,475.71 : 619,819.83 = 132,796.13 : x
  2. Step 2: Convert to fraction form
    413,475.71/619,819.83 = 132,796.13/x
  3. Step 3: Cross multiply
    413,475.71x = 619,819.83 × 132,796.13
  4. Step 4: Simplify right side
    413,475.71x = 82,309,671,622.16
  5. Step 5: Solve for x
    x = 82,309,671,622.16/413,475.71
  6. Step 6: Final answer
    x = 199,067.73

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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.