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Finding the Fourth Proportional to 655,286.56, 982,930.16 and 181,972.64

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Solution

The fourth proportional to 655,286.56, 982,930.16 and 181,972.64 is: 272,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,286.56 : 982,930.16 = 181,972.64 : x
  2. Step 2: Convert to fraction form
    655,286.56/982,930.16 = 181,972.64/x
  3. Step 3: Cross multiply
    655,286.56x = 982,930.16 × 181,972.64
  4. Step 4: Simplify right side
    655,286.56x = 178,866,396,150.82
  5. Step 5: Solve for x
    x = 178,866,396,150.82/655,286.56
  6. Step 6: Final answer
    x = 272,959.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.