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Finding the Fourth Proportional to 344,902.86, 475,961.06 and 193,999.50

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Solution

The fourth proportional to 344,902.86, 475,961.06 and 193,999.50 is: 267,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,902.86 : 475,961.06 = 193,999.50 : x
  2. Step 2: Convert to fraction form
    344,902.86/475,961.06 = 193,999.50/x
  3. Step 3: Cross multiply
    344,902.86x = 475,961.06 × 193,999.50
  4. Step 4: Simplify right side
    344,902.86x = 92,336,207,659.47
  5. Step 5: Solve for x
    x = 92,336,207,659.47/344,902.86
  6. Step 6: Final answer
    x = 267,716.56

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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.