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Finding the Fourth Proportional to 406,481.16, 609,753.33 and 122,149.56

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Solution

The fourth proportional to 406,481.16, 609,753.33 and 122,149.56 is: 183,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,481.16 : 609,753.33 = 122,149.56 : x
  2. Step 2: Convert to fraction form
    406,481.16/609,753.33 = 122,149.56/x
  3. Step 3: Cross multiply
    406,481.16x = 609,753.33 × 122,149.56
  4. Step 4: Simplify right side
    406,481.16x = 74,481,100,968.03
  5. Step 5: Solve for x
    x = 74,481,100,968.03/406,481.16
  6. Step 6: Final answer
    x = 183,233.83

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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.