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Finding the Fourth Proportional to 465,394.24, 642,227.20 and 284,408.96

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Solution

The fourth proportional to 465,394.24, 642,227.20 and 284,408.96 is: 392,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,394.24 : 642,227.20 = 284,408.96 : x
  2. Step 2: Convert to fraction form
    465,394.24/642,227.20 = 284,408.96/x
  3. Step 3: Cross multiply
    465,394.24x = 642,227.20 × 284,408.96
  4. Step 4: Simplify right side
    465,394.24x = 182,655,170,035.71
  5. Step 5: Solve for x
    x = 182,655,170,035.71/465,394.24
  6. Step 6: Final answer
    x = 392,474.07

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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.