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Finding the Fourth Proportional to 323,066.38, 445,821.68 and 179,822.74

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Solution

The fourth proportional to 323,066.38, 445,821.68 and 179,822.74 is: 248,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,066.38 : 445,821.68 = 179,822.74 : x
  2. Step 2: Convert to fraction form
    323,066.38/445,821.68 = 179,822.74/x
  3. Step 3: Cross multiply
    323,066.38x = 445,821.68 × 179,822.74
  4. Step 4: Simplify right side
    323,066.38x = 80,168,876,049.00
  5. Step 5: Solve for x
    x = 80,168,876,049.00/323,066.38
  6. Step 6: Final answer
    x = 248,149.86

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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.