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Finding the Fourth Proportional to 322,857.94, 445,549.92 and 179,631.34

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Solution

The fourth proportional to 322,857.94, 445,549.92 and 179,631.34 is: 247,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,857.94 : 445,549.92 = 179,631.34 : x
  2. Step 2: Convert to fraction form
    322,857.94/445,549.92 = 179,631.34/x
  3. Step 3: Cross multiply
    322,857.94x = 445,549.92 × 179,631.34
  4. Step 4: Simplify right side
    322,857.94x = 80,034,729,166.49
  5. Step 5: Solve for x
    x = 80,034,729,166.49/322,857.94
  6. Step 6: Final answer
    x = 247,894.57

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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.