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Finding the Fourth Proportional to 271,375.92, 406,980.96 and 187,674

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Solution

The fourth proportional to 271,375.92, 406,980.96 and 187,674 is: 281,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,375.92 : 406,980.96 = 187,674 : x
  2. Step 2: Convert to fraction form
    271,375.92/406,980.96 = 187,674/x
  3. Step 3: Cross multiply
    271,375.92x = 406,980.96 × 187,674
  4. Step 4: Simplify right side
    271,375.92x = 76,379,744,687.04
  5. Step 5: Solve for x
    x = 76,379,744,687.04/271,375.92
  6. Step 6: Final answer
    x = 281,453.66

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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.