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Finding the Fourth Proportional to 457,965.20, 686,947.80 and 408,976.40

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Solution

The fourth proportional to 457,965.20, 686,947.80 and 408,976.40 is: 613,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,965.20 : 686,947.80 = 408,976.40 : x
  2. Step 2: Convert to fraction form
    457,965.20/686,947.80 = 408,976.40/x
  3. Step 3: Cross multiply
    457,965.20x = 686,947.80 × 408,976.40
  4. Step 4: Simplify right side
    457,965.20x = 280,945,438,231.92
  5. Step 5: Solve for x
    x = 280,945,438,231.92/457,965.20
  6. Step 6: Final answer
    x = 613,464.60

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Similar ratio
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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.