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Finding the Fourth Proportional to 323,214.87, 446,049.68 and 179,965.83

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Solution

The fourth proportional to 323,214.87, 446,049.68 and 179,965.83 is: 248,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,214.87 : 446,049.68 = 179,965.83 : x
  2. Step 2: Convert to fraction form
    323,214.87/446,049.68 = 179,965.83/x
  3. Step 3: Cross multiply
    323,214.87x = 446,049.68 × 179,965.83
  4. Step 4: Simplify right side
    323,214.87x = 80,273,699,982.61
  5. Step 5: Solve for x
    x = 80,273,699,982.61/323,214.87
  6. Step 6: Final answer
    x = 248,360.17

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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.