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Finding the Fourth Proportional to 467,892.20, 701,838.30 and 231,185.90

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Solution

The fourth proportional to 467,892.20, 701,838.30 and 231,185.90 is: 346,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,892.20 : 701,838.30 = 231,185.90 : x
  2. Step 2: Convert to fraction form
    467,892.20/701,838.30 = 231,185.90/x
  3. Step 3: Cross multiply
    467,892.20x = 701,838.30 × 231,185.90
  4. Step 4: Simplify right side
    467,892.20x = 162,255,119,039.97
  5. Step 5: Solve for x
    x = 162,255,119,039.97/467,892.20
  6. Step 6: Final answer
    x = 346,778.85

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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.