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Finding the Fourth Proportional to 344,650.24, 475,659.84 and 193,744

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Solution

The fourth proportional to 344,650.24, 475,659.84 and 193,744 is: 267,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,650.24 : 475,659.84 = 193,744 : x
  2. Step 2: Convert to fraction form
    344,650.24/475,659.84 = 193,744/x
  3. Step 3: Cross multiply
    344,650.24x = 475,659.84 × 193,744
  4. Step 4: Simplify right side
    344,650.24x = 92,156,240,040.96
  5. Step 5: Solve for x
    x = 92,156,240,040.96/344,650.24
  6. Step 6: Final answer
    x = 267,390.62

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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.