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Finding the Fourth Proportional to 322,414.59, 444,896.79 and 186,427.95

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Solution

The fourth proportional to 322,414.59, 444,896.79 and 186,427.95 is: 257,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,414.59 : 444,896.79 = 186,427.95 : x
  2. Step 2: Convert to fraction form
    322,414.59/444,896.79 = 186,427.95/x
  3. Step 3: Cross multiply
    322,414.59x = 444,896.79 × 186,427.95
  4. Step 4: Simplify right side
    322,414.59x = 82,941,196,521.28
  5. Step 5: Solve for x
    x = 82,941,196,521.28/322,414.59
  6. Step 6: Final answer
    x = 257,250.13

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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.