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Finding the Fourth Proportional to 271,522.56, 406,754.06 and 177,744

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Solution

The fourth proportional to 271,522.56, 406,754.06 and 177,744 is: 266,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,522.56 : 406,754.06 = 177,744 : x
  2. Step 2: Convert to fraction form
    271,522.56/406,754.06 = 177,744/x
  3. Step 3: Cross multiply
    271,522.56x = 406,754.06 × 177,744
  4. Step 4: Simplify right side
    271,522.56x = 72,298,092,751.92
  5. Step 5: Solve for x
    x = 72,298,092,751.92/271,522.56
  6. Step 6: Final answer
    x = 266,269.19

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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.