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Finding the Fourth Proportional to 513,261.87, 708,065.96 and 332,032.24

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Solution

The fourth proportional to 513,261.87, 708,065.96 and 332,032.24 is: 458,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,261.87 : 708,065.96 = 332,032.24 : x
  2. Step 2: Convert to fraction form
    513,261.87/708,065.96 = 332,032.24/x
  3. Step 3: Cross multiply
    513,261.87x = 708,065.96 × 332,032.24
  4. Step 4: Simplify right side
    513,261.87x = 235,100,726,766.55
  5. Step 5: Solve for x
    x = 235,100,726,766.55/513,261.87
  6. Step 6: Final answer
    x = 458,052.20

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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.