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Finding the Fourth Proportional to 331,726.40, 497,654.40 and 132,012.80

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Solution

The fourth proportional to 331,726.40, 497,654.40 and 132,012.80 is: 198,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,726.40 : 497,654.40 = 132,012.80 : x
  2. Step 2: Convert to fraction form
    331,726.40/497,654.40 = 132,012.80/x
  3. Step 3: Cross multiply
    331,726.40x = 497,654.40 × 132,012.80
  4. Step 4: Simplify right side
    331,726.40x = 65,696,750,776.32
  5. Step 5: Solve for x
    x = 65,696,750,776.32/331,726.40
  6. Step 6: Final answer
    x = 198,044.99

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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.