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Finding the Fourth Proportional to 502,663.26, 754,049.85 and 218,158.26

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Solution

The fourth proportional to 502,663.26, 754,049.85 and 218,158.26 is: 327,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,663.26 : 754,049.85 = 218,158.26 : x
  2. Step 2: Convert to fraction form
    502,663.26/754,049.85 = 218,158.26/x
  3. Step 3: Cross multiply
    502,663.26x = 754,049.85 × 218,158.26
  4. Step 4: Simplify right side
    502,663.26x = 164,502,203,229.26
  5. Step 5: Solve for x
    x = 164,502,203,229.26/502,663.26
  6. Step 6: Final answer
    x = 327,261.24

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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.