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Finding the Fourth Proportional to 502,169.90, 753,304.46 and 165,073.82

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Solution

The fourth proportional to 502,169.90, 753,304.46 and 165,073.82 is: 247,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,169.90 : 753,304.46 = 165,073.82 : x
  2. Step 2: Convert to fraction form
    502,169.90/753,304.46 = 165,073.82/x
  3. Step 3: Cross multiply
    502,169.90x = 753,304.46 × 165,073.82
  4. Step 4: Simplify right side
    502,169.90x = 124,350,840,243.35
  5. Step 5: Solve for x
    x = 124,350,840,243.35/502,169.90
  6. Step 6: Final answer
    x = 247,627.03

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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.