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Finding the Fourth Proportional to 513,471.29, 708,351.75 and 332,241.68

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Solution

The fourth proportional to 513,471.29, 708,351.75 and 332,241.68 is: 458,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,471.29 : 708,351.75 = 332,241.68 : x
  2. Step 2: Convert to fraction form
    513,471.29/708,351.75 = 332,241.68/x
  3. Step 3: Cross multiply
    513,471.29x = 708,351.75 × 332,241.68
  4. Step 4: Simplify right side
    513,471.29x = 235,343,977,221.82
  5. Step 5: Solve for x
    x = 235,343,977,221.82/513,471.29
  6. Step 6: Final answer
    x = 458,339.12

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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.