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Finding the Fourth Proportional to 438,812.40, 658,024.20 and 202,227.60

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Solution

The fourth proportional to 438,812.40, 658,024.20 and 202,227.60 is: 303,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,812.40 : 658,024.20 = 202,227.60 : x
  2. Step 2: Convert to fraction form
    438,812.40/658,024.20 = 202,227.60/x
  3. Step 3: Cross multiply
    438,812.40x = 658,024.20 × 202,227.60
  4. Step 4: Simplify right side
    438,812.40x = 133,070,654,707.92
  5. Step 5: Solve for x
    x = 133,070,654,707.92/438,812.40
  6. Step 6: Final answer
    x = 303,251.81

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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.