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Finding the Fourth Proportional to 502,612.47, 754,012.13 and 165,676.73

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Solution

The fourth proportional to 502,612.47, 754,012.13 and 165,676.73 is: 248,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,612.47 : 754,012.13 = 165,676.73 : x
  2. Step 2: Convert to fraction form
    502,612.47/754,012.13 = 165,676.73/x
  3. Step 3: Cross multiply
    502,612.47x = 754,012.13 × 165,676.73
  4. Step 4: Simplify right side
    502,612.47x = 124,922,259,480.29
  5. Step 5: Solve for x
    x = 124,922,259,480.29/502,612.47
  6. Step 6: Final answer
    x = 248,545.88

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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.