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Finding the Fourth Proportional to 458,470.20, 687,705.30 and 451,471.80

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Solution

The fourth proportional to 458,470.20, 687,705.30 and 451,471.80 is: 677,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,470.20 : 687,705.30 = 451,471.80 : x
  2. Step 2: Convert to fraction form
    458,470.20/687,705.30 = 451,471.80/x
  3. Step 3: Cross multiply
    458,470.20x = 687,705.30 × 451,471.80
  4. Step 4: Simplify right side
    458,470.20x = 310,479,549,660.54
  5. Step 5: Solve for x
    x = 310,479,549,660.54/458,470.20
  6. Step 6: Final answer
    x = 677,207.70

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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.