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Finding the Fourth Proportional to 287,414.72, 396,601.98 and 166,593.90

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Solution

The fourth proportional to 287,414.72, 396,601.98 and 166,593.90 is: 229,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,414.72 : 396,601.98 = 166,593.90 : x
  2. Step 2: Convert to fraction form
    287,414.72/396,601.98 = 166,593.90/x
  3. Step 3: Cross multiply
    287,414.72x = 396,601.98 × 166,593.90
  4. Step 4: Simplify right side
    287,414.72x = 66,071,469,971.19
  5. Step 5: Solve for x
    x = 66,071,469,971.19/287,414.72
  6. Step 6: Final answer
    x = 229,882.00

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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.