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Finding the Fourth Proportional to 322,196.27, 444,581.42 and 186,203.95

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Solution

The fourth proportional to 322,196.27, 444,581.42 and 186,203.95 is: 256,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,196.27 : 444,581.42 = 186,203.95 : x
  2. Step 2: Convert to fraction form
    322,196.27/444,581.42 = 186,203.95/x
  3. Step 3: Cross multiply
    322,196.27x = 444,581.42 × 186,203.95
  4. Step 4: Simplify right side
    322,196.27x = 82,782,814,458.14
  5. Step 5: Solve for x
    x = 82,782,814,458.14/322,196.27
  6. Step 6: Final answer
    x = 256,932.88

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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.