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Finding the Fourth Proportional to 465,847.43, 642,865.56 and 261,899.24

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Solution

The fourth proportional to 465,847.43, 642,865.56 and 261,899.24 is: 361,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,847.43 : 642,865.56 = 261,899.24 : x
  2. Step 2: Convert to fraction form
    465,847.43/642,865.56 = 261,899.24/x
  3. Step 3: Cross multiply
    465,847.43x = 642,865.56 × 261,899.24
  4. Step 4: Simplify right side
    465,847.43x = 168,365,998,371.85
  5. Step 5: Solve for x
    x = 168,365,998,371.85/465,847.43
  6. Step 6: Final answer
    x = 361,418.76

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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.