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Finding the Fourth Proportional to 462,924.72, 694,414.17 and 178,616.79

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Solution

The fourth proportional to 462,924.72, 694,414.17 and 178,616.79 is: 267,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,924.72 : 694,414.17 = 178,616.79 : x
  2. Step 2: Convert to fraction form
    462,924.72/694,414.17 = 178,616.79/x
  3. Step 3: Cross multiply
    462,924.72x = 694,414.17 × 178,616.79
  4. Step 4: Simplify right side
    462,924.72x = 124,034,029,975.91
  5. Step 5: Solve for x
    x = 124,034,029,975.91/462,924.72
  6. Step 6: Final answer
    x = 267,935.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.