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Finding the Fourth Proportional to 320,081.38, 441,337.62 and 218,167.18

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Solution

The fourth proportional to 320,081.38, 441,337.62 and 218,167.18 is: 300,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,081.38 : 441,337.62 = 218,167.18 : x
  2. Step 2: Convert to fraction form
    320,081.38/441,337.62 = 218,167.18/x
  3. Step 3: Cross multiply
    320,081.38x = 441,337.62 × 218,167.18
  4. Step 4: Simplify right side
    320,081.38x = 96,285,383,983.31
  5. Step 5: Solve for x
    x = 96,285,383,983.31/320,081.38
  6. Step 6: Final answer
    x = 300,815.32

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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.