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Finding the Fourth Proportional to 517,764.10, 775,759.20 and 411,475.90

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Solution

The fourth proportional to 517,764.10, 775,759.20 and 411,475.90 is: 616,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,764.10 : 775,759.20 = 411,475.90 : x
  2. Step 2: Convert to fraction form
    517,764.10/775,759.20 = 411,475.90/x
  3. Step 3: Cross multiply
    517,764.10x = 775,759.20 × 411,475.90
  4. Step 4: Simplify right side
    517,764.10x = 319,206,215,003.28
  5. Step 5: Solve for x
    x = 319,206,215,003.28/517,764.10
  6. Step 6: Final answer
    x = 616,508.98

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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.