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Finding the Fourth Proportional to 413,087.52, 619,572.72 and 132,567.84

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Solution

The fourth proportional to 413,087.52, 619,572.72 and 132,567.84 is: 198,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,087.52 : 619,572.72 = 132,567.84 : x
  2. Step 2: Convert to fraction form
    413,087.52/619,572.72 = 132,567.84/x
  3. Step 3: Cross multiply
    413,087.52x = 619,572.72 × 132,567.84
  4. Step 4: Simplify right side
    413,087.52x = 82,135,417,213.32
  5. Step 5: Solve for x
    x = 82,135,417,213.32/413,087.52
  6. Step 6: Final answer
    x = 198,832.97

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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.