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Finding the Fourth Proportional to 271,523.56, 406,755.55 and 177,745

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Solution

The fourth proportional to 271,523.56, 406,755.55 and 177,745 is: 266,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,523.56 : 406,755.55 = 177,745 : x
  2. Step 2: Convert to fraction form
    271,523.56/406,755.55 = 177,745/x
  3. Step 3: Cross multiply
    271,523.56x = 406,755.55 × 177,745
  4. Step 4: Simplify right side
    271,523.56x = 72,298,765,234.75
  5. Step 5: Solve for x
    x = 72,298,765,234.75/271,523.56
  6. Step 6: Final answer
    x = 266,270.69

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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.