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Finding the Fourth Proportional to 344,896.11, 475,951.76 and 193,992.75

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Solution

The fourth proportional to 344,896.11, 475,951.76 and 193,992.75 is: 267,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,896.11 : 475,951.76 = 193,992.75 : x
  2. Step 2: Convert to fraction form
    344,896.11/475,951.76 = 193,992.75/x
  3. Step 3: Cross multiply
    344,896.11x = 475,951.76 × 193,992.75
  4. Step 4: Simplify right side
    344,896.11x = 92,331,189,819.78
  5. Step 5: Solve for x
    x = 92,331,189,819.78/344,896.11
  6. Step 6: Final answer
    x = 267,707.25

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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.