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Finding the Fourth Proportional to 300,616.92, 414,845.82 and 173,297.88

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Solution

The fourth proportional to 300,616.92, 414,845.82 and 173,297.88 is: 239,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,616.92 : 414,845.82 = 173,297.88 : x
  2. Step 2: Convert to fraction form
    300,616.92/414,845.82 = 173,297.88/x
  3. Step 3: Cross multiply
    300,616.92x = 414,845.82 × 173,297.88
  4. Step 4: Simplify right side
    300,616.92x = 71,891,901,132.86
  5. Step 5: Solve for x
    x = 71,891,901,132.86/300,616.92
  6. Step 6: Final answer
    x = 239,147.89

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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.