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Finding the Fourth Proportional to 512,145.20, 768,217.80 and 387,729.20

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Solution

The fourth proportional to 512,145.20, 768,217.80 and 387,729.20 is: 581,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.20 : 768,217.80 = 387,729.20 : x
  2. Step 2: Convert to fraction form
    512,145.20/768,217.80 = 387,729.20/x
  3. Step 3: Cross multiply
    512,145.20x = 768,217.80 × 387,729.20
  4. Step 4: Simplify right side
    512,145.20x = 297,860,473,019.76
  5. Step 5: Solve for x
    x = 297,860,473,019.76/512,145.20
  6. Step 6: Final answer
    x = 581,593.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.