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Finding the Fourth Proportional to 322,177.94, 444,605.57 and 178,951.31

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Solution

The fourth proportional to 322,177.94, 444,605.57 and 178,951.31 is: 246,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,177.94 : 444,605.57 = 178,951.31 : x
  2. Step 2: Convert to fraction form
    322,177.94/444,605.57 = 178,951.31/x
  3. Step 3: Cross multiply
    322,177.94x = 444,605.57 × 178,951.31
  4. Step 4: Simplify right side
    322,177.94x = 79,562,749,184.80
  5. Step 5: Solve for x
    x = 79,562,749,184.80/322,177.94
  6. Step 6: Final answer
    x = 246,952.81

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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.