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Finding the Fourth Proportional to 269,286.38, 404,004.48 and 117,496.70

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Solution

The fourth proportional to 269,286.38, 404,004.48 and 117,496.70 is: 176,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,286.38 : 404,004.48 = 117,496.70 : x
  2. Step 2: Convert to fraction form
    269,286.38/404,004.48 = 117,496.70/x
  3. Step 3: Cross multiply
    269,286.38x = 404,004.48 × 117,496.70
  4. Step 4: Simplify right side
    269,286.38x = 47,469,193,185.22
  5. Step 5: Solve for x
    x = 47,469,193,185.22/269,286.38
  6. Step 6: Final answer
    x = 176,277.74

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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.