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Finding the Fourth Proportional to 512,191.20, 768,286.80 and 449,983.20

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Solution

The fourth proportional to 512,191.20, 768,286.80 and 449,983.20 is: 674,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.20 : 768,286.80 = 449,983.20 : x
  2. Step 2: Convert to fraction form
    512,191.20/768,286.80 = 449,983.20/x
  3. Step 3: Cross multiply
    512,191.20x = 768,286.80 × 449,983.20
  4. Step 4: Simplify right side
    512,191.20x = 345,716,152,781.76
  5. Step 5: Solve for x
    x = 345,716,152,781.76/512,191.20
  6. Step 6: Final answer
    x = 674,974.80

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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.