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Finding the Fourth Proportional to 413,270.68, 619,862.28 and 132,766.06

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Solution

The fourth proportional to 413,270.68, 619,862.28 and 132,766.06 is: 199,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,270.68 : 619,862.28 = 132,766.06 : x
  2. Step 2: Convert to fraction form
    413,270.68/619,862.28 = 132,766.06/x
  3. Step 3: Cross multiply
    413,270.68x = 619,862.28 × 132,766.06
  4. Step 4: Simplify right side
    413,270.68x = 82,296,672,658.22
  5. Step 5: Solve for x
    x = 82,296,672,658.22/413,270.68
  6. Step 6: Final answer
    x = 199,135.04

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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.