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Finding the Fourth Proportional to 512,006.80, 768,010.20 and 344,045.20

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Solution

The fourth proportional to 512,006.80, 768,010.20 and 344,045.20 is: 516,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,006.80 : 768,010.20 = 344,045.20 : x
  2. Step 2: Convert to fraction form
    512,006.80/768,010.20 = 344,045.20/x
  3. Step 3: Cross multiply
    512,006.80x = 768,010.20 × 344,045.20
  4. Step 4: Simplify right side
    512,006.80x = 264,230,222,861.04
  5. Step 5: Solve for x
    x = 264,230,222,861.04/512,006.80
  6. Step 6: Final answer
    x = 516,067.80

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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.