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Finding the Fourth Proportional to 342,170.55, 472,213.31 and 206,247.69

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Solution

The fourth proportional to 342,170.55, 472,213.31 and 206,247.69 is: 284,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,170.55 : 472,213.31 = 206,247.69 : x
  2. Step 2: Convert to fraction form
    342,170.55/472,213.31 = 206,247.69/x
  3. Step 3: Cross multiply
    342,170.55x = 472,213.31 × 206,247.69
  4. Step 4: Simplify right side
    342,170.55x = 97,392,904,374.75
  5. Step 5: Solve for x
    x = 97,392,904,374.75/342,170.55
  6. Step 6: Final answer
    x = 284,632.63

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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.