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Finding the Fourth Proportional to 274,702.92, 413,926.17 and 225,876.75

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Solution

The fourth proportional to 274,702.92, 413,926.17 and 225,876.75 is: 340,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,702.92 : 413,926.17 = 225,876.75 : x
  2. Step 2: Convert to fraction form
    274,702.92/413,926.17 = 225,876.75/x
  3. Step 3: Cross multiply
    274,702.92x = 413,926.17 × 225,876.75
  4. Step 4: Simplify right side
    274,702.92x = 93,496,298,019.55
  5. Step 5: Solve for x
    x = 93,496,298,019.55/274,702.92
  6. Step 6: Final answer
    x = 340,354.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.