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Finding the Fourth Proportional to 413,108.39, 619,662.60 and 132,822.47

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Solution

The fourth proportional to 413,108.39, 619,662.60 and 132,822.47 is: 199,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,108.39 : 619,662.60 = 132,822.47 : x
  2. Step 2: Convert to fraction form
    413,108.39/619,662.60 = 132,822.47/x
  3. Step 3: Cross multiply
    413,108.39x = 619,662.60 × 132,822.47
  4. Step 4: Simplify right side
    413,108.39x = 82,305,117,098.62
  5. Step 5: Solve for x
    x = 82,305,117,098.62/413,108.39
  6. Step 6: Final answer
    x = 199,233.71

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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.