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Finding the Fourth Proportional to 406,446.52, 560,896.10 and 225,170.22

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Solution

The fourth proportional to 406,446.52, 560,896.10 and 225,170.22 is: 310,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,446.52 : 560,896.10 = 225,170.22 : x
  2. Step 2: Convert to fraction form
    406,446.52/560,896.10 = 225,170.22/x
  3. Step 3: Cross multiply
    406,446.52x = 560,896.10 × 225,170.22
  4. Step 4: Simplify right side
    406,446.52x = 126,297,098,234.14
  5. Step 5: Solve for x
    x = 126,297,098,234.14/406,446.52
  6. Step 6: Final answer
    x = 310,734.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.