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Finding the Fourth Proportional to 338,906.56, 467,747.12 and 188,052.16

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Solution

The fourth proportional to 338,906.56, 467,747.12 and 188,052.16 is: 259,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,906.56 : 467,747.12 = 188,052.16 : x
  2. Step 2: Convert to fraction form
    338,906.56/467,747.12 = 188,052.16/x
  3. Step 3: Cross multiply
    338,906.56x = 467,747.12 × 188,052.16
  4. Step 4: Simplify right side
    338,906.56x = 87,960,856,249.78
  5. Step 5: Solve for x
    x = 87,960,856,249.78/338,906.56
  6. Step 6: Final answer
    x = 259,543.09

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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.