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Finding the Fourth Proportional to 322,206.28, 444,644.80 and 178,979.68

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Solution

The fourth proportional to 322,206.28, 444,644.80 and 178,979.68 is: 246,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,206.28 : 444,644.80 = 178,979.68 : x
  2. Step 2: Convert to fraction form
    322,206.28/444,644.80 = 178,979.68/x
  3. Step 3: Cross multiply
    322,206.28x = 444,644.80 × 178,979.68
  4. Step 4: Simplify right side
    322,206.28x = 79,582,384,017.66
  5. Step 5: Solve for x
    x = 79,582,384,017.66/322,206.28
  6. Step 6: Final answer
    x = 246,992.03

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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.