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Finding the Fourth Proportional to 406,697.28, 609,905.49 and 166,743.09

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Solution

The fourth proportional to 406,697.28, 609,905.49 and 166,743.09 is: 250,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,697.28 : 609,905.49 = 166,743.09 : x
  2. Step 2: Convert to fraction form
    406,697.28/609,905.49 = 166,743.09/x
  3. Step 3: Cross multiply
    406,697.28x = 609,905.49 × 166,743.09
  4. Step 4: Simplify right side
    406,697.28x = 101,697,526,010.56
  5. Step 5: Solve for x
    x = 101,697,526,010.56/406,697.28
  6. Step 6: Final answer
    x = 250,057.06

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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.