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Finding the Fourth Proportional to 461,029.38, 636,217.83 and 257,082.72

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Solution

The fourth proportional to 461,029.38, 636,217.83 and 257,082.72 is: 354,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,029.38 : 636,217.83 = 257,082.72 : x
  2. Step 2: Convert to fraction form
    461,029.38/636,217.83 = 257,082.72/x
  3. Step 3: Cross multiply
    461,029.38x = 636,217.83 × 257,082.72
  4. Step 4: Simplify right side
    461,029.38x = 163,560,610,248.90
  5. Step 5: Solve for x
    x = 163,560,610,248.90/461,029.38
  6. Step 6: Final answer
    x = 354,772.64

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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.