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Finding the Fourth Proportional to 465,086.13, 641,889 and 283,903.44

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Solution

The fourth proportional to 465,086.13, 641,889 and 283,903.44 is: 391,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,086.13 : 641,889 = 283,903.44 : x
  2. Step 2: Convert to fraction form
    465,086.13/641,889 = 283,903.44/x
  3. Step 3: Cross multiply
    465,086.13x = 641,889 × 283,903.44
  4. Step 4: Simplify right side
    465,086.13x = 182,234,495,198.16
  5. Step 5: Solve for x
    x = 182,234,495,198.16/465,086.13
  6. Step 6: Final answer
    x = 391,829.56

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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.