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Finding the Fourth Proportional to 271,377.92, 406,983.96 and 187,676

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Solution

The fourth proportional to 271,377.92, 406,983.96 and 187,676 is: 281,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,377.92 : 406,983.96 = 187,676 : x
  2. Step 2: Convert to fraction form
    271,377.92/406,983.96 = 187,676/x
  3. Step 3: Cross multiply
    271,377.92x = 406,983.96 × 187,676
  4. Step 4: Simplify right side
    271,377.92x = 76,381,121,676.96
  5. Step 5: Solve for x
    x = 76,381,121,676.96/271,377.92
  6. Step 6: Final answer
    x = 281,456.66

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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.