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Finding the Fourth Proportional to 413,171.40, 619,757.22 and 132,885.48

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Solution

The fourth proportional to 413,171.40, 619,757.22 and 132,885.48 is: 199,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,171.40 : 619,757.22 = 132,885.48 : x
  2. Step 2: Convert to fraction form
    413,171.40/619,757.22 = 132,885.48/x
  3. Step 3: Cross multiply
    413,171.40x = 619,757.22 × 132,885.48
  4. Step 4: Simplify right side
    413,171.40x = 82,356,735,663.17
  5. Step 5: Solve for x
    x = 82,356,735,663.17/413,171.40
  6. Step 6: Final answer
    x = 199,328.26

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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.