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Finding the Fourth Proportional to 457,333.60, 686,000.40 and 431,672.80

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Solution

The fourth proportional to 457,333.60, 686,000.40 and 431,672.80 is: 647,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,333.60 : 686,000.40 = 431,672.80 : x
  2. Step 2: Convert to fraction form
    457,333.60/686,000.40 = 431,672.80/x
  3. Step 3: Cross multiply
    457,333.60x = 686,000.40 × 431,672.80
  4. Step 4: Simplify right side
    457,333.60x = 296,127,713,469.12
  5. Step 5: Solve for x
    x = 296,127,713,469.12/457,333.60
  6. Step 6: Final answer
    x = 647,509.20

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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.