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Finding the Fourth Proportional to 468,049.20, 702,073.80 and 409,000.20

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Solution

The fourth proportional to 468,049.20, 702,073.80 and 409,000.20 is: 613,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.20 : 702,073.80 = 409,000.20 : x
  2. Step 2: Convert to fraction form
    468,049.20/702,073.80 = 409,000.20/x
  3. Step 3: Cross multiply
    468,049.20x = 702,073.80 × 409,000.20
  4. Step 4: Simplify right side
    468,049.20x = 287,148,324,614.76
  5. Step 5: Solve for x
    x = 287,148,324,614.76/468,049.20
  6. Step 6: Final answer
    x = 613,500.30

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1.5x scale

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.