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Finding the Fourth Proportional to 641,861.76, 885,231.12 and 412,456.32

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Solution

The fourth proportional to 641,861.76, 885,231.12 and 412,456.32 is: 568,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,861.76 : 885,231.12 = 412,456.32 : x
  2. Step 2: Convert to fraction form
    641,861.76/885,231.12 = 412,456.32/x
  3. Step 3: Cross multiply
    641,861.76x = 885,231.12 × 412,456.32
  4. Step 4: Simplify right side
    641,861.76x = 365,119,170,104.68
  5. Step 5: Solve for x
    x = 365,119,170,104.68/641,861.76
  6. Step 6: Final answer
    x = 568,843.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.