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Finding the Fourth Proportional to 322,592.64, 445,049.97 and 186,601.33

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Solution

The fourth proportional to 322,592.64, 445,049.97 and 186,601.33 is: 257,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,592.64 : 445,049.97 = 186,601.33 : x
  2. Step 2: Convert to fraction form
    322,592.64/445,049.97 = 186,601.33/x
  3. Step 3: Cross multiply
    322,592.64x = 445,049.97 × 186,601.33
  4. Step 4: Simplify right side
    322,592.64x = 83,046,915,385.45
  5. Step 5: Solve for x
    x = 83,046,915,385.45/322,592.64
  6. Step 6: Final answer
    x = 257,435.87

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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.