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Finding the Fourth Proportional to 322,171.24, 444,570.30 and 186,214

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Solution

The fourth proportional to 322,171.24, 444,570.30 and 186,214 is: 256,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,171.24 : 444,570.30 = 186,214 : x
  2. Step 2: Convert to fraction form
    322,171.24/444,570.30 = 186,214/x
  3. Step 3: Cross multiply
    322,171.24x = 444,570.30 × 186,214
  4. Step 4: Simplify right side
    322,171.24x = 82,785,213,844.20
  5. Step 5: Solve for x
    x = 82,785,213,844.20/322,171.24
  6. Step 6: Final answer
    x = 256,960.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.