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Finding the Fourth Proportional to 513,522.70, 708,422.52 and 332,293.20

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Solution

The fourth proportional to 513,522.70, 708,422.52 and 332,293.20 is: 458,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,522.70 : 708,422.52 = 332,293.20 : x
  2. Step 2: Convert to fraction form
    513,522.70/708,422.52 = 332,293.20/x
  3. Step 3: Cross multiply
    513,522.70x = 708,422.52 × 332,293.20
  4. Step 4: Simplify right side
    513,522.70x = 235,403,984,712.38
  5. Step 5: Solve for x
    x = 235,403,984,712.38/513,522.70
  6. Step 6: Final answer
    x = 458,410.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.