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Finding the Fourth Proportional to 512,553.60, 768,830.40 and 457,441.20

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Solution

The fourth proportional to 512,553.60, 768,830.40 and 457,441.20 is: 686,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,553.60 : 768,830.40 = 457,441.20 : x
  2. Step 2: Convert to fraction form
    512,553.60/768,830.40 = 457,441.20/x
  3. Step 3: Cross multiply
    512,553.60x = 768,830.40 × 457,441.20
  4. Step 4: Simplify right side
    512,553.60x = 351,694,700,772.48
  5. Step 5: Solve for x
    x = 351,694,700,772.48/512,553.60
  6. Step 6: Final answer
    x = 686,161.80

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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.