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Finding the Fourth Proportional to 418,436.20, 626,732.70 and 363,140.20

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Solution

The fourth proportional to 418,436.20, 626,732.70 and 363,140.20 is: 543,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,436.20 : 626,732.70 = 363,140.20 : x
  2. Step 2: Convert to fraction form
    418,436.20/626,732.70 = 363,140.20/x
  3. Step 3: Cross multiply
    418,436.20x = 626,732.70 × 363,140.20
  4. Step 4: Simplify right side
    418,436.20x = 227,591,838,024.54
  5. Step 5: Solve for x
    x = 227,591,838,024.54/418,436.20
  6. Step 6: Final answer
    x = 543,910.49

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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.