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Finding the Fourth Proportional to 486,046.20, 727,757.10 and 486,046.20

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Solution

The fourth proportional to 486,046.20, 727,757.10 and 486,046.20 is: 727,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,046.20 : 727,757.10 = 486,046.20 : x
  2. Step 2: Convert to fraction form
    486,046.20/727,757.10 = 486,046.20/x
  3. Step 3: Cross multiply
    486,046.20x = 727,757.10 × 486,046.20
  4. Step 4: Simplify right side
    486,046.20x = 353,723,572,978.02
  5. Step 5: Solve for x
    x = 353,723,572,978.02/486,046.20
  6. Step 6: Final answer
    x = 727,757.10

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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.