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Finding the Fourth Proportional to 467,898.20, 701,847.30 and 408,849.20

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Solution

The fourth proportional to 467,898.20, 701,847.30 and 408,849.20 is: 613,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,898.20 : 701,847.30 = 408,849.20 : x
  2. Step 2: Convert to fraction form
    467,898.20/701,847.30 = 408,849.20/x
  3. Step 3: Cross multiply
    467,898.20x = 701,847.30 × 408,849.20
  4. Step 4: Simplify right side
    467,898.20x = 286,949,707,127.16
  5. Step 5: Solve for x
    x = 286,949,707,127.16/467,898.20
  6. Step 6: Final answer
    x = 613,273.80

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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.