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Finding the Fourth Proportional to 306,502.52, 422,966.92 and 177,446.44

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Solution

The fourth proportional to 306,502.52, 422,966.92 and 177,446.44 is: 244,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.52 : 422,966.92 = 177,446.44 : x
  2. Step 2: Convert to fraction form
    306,502.52/422,966.92 = 177,446.44/x
  3. Step 3: Cross multiply
    306,502.52x = 422,966.92 × 177,446.44
  4. Step 4: Simplify right side
    306,502.52x = 75,053,974,191.76
  5. Step 5: Solve for x
    x = 75,053,974,191.76/306,502.52
  6. Step 6: Final answer
    x = 244,872.29

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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.