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Finding the Fourth Proportional to 392,532.78, 541,723.23 and 222,777.84

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Solution

The fourth proportional to 392,532.78, 541,723.23 and 222,777.84 is: 307,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,532.78 : 541,723.23 = 222,777.84 : x
  2. Step 2: Convert to fraction form
    392,532.78/541,723.23 = 222,777.84/x
  3. Step 3: Cross multiply
    392,532.78x = 541,723.23 × 222,777.84
  4. Step 4: Simplify right side
    392,532.78x = 120,683,931,057.22
  5. Step 5: Solve for x
    x = 120,683,931,057.22/392,532.78
  6. Step 6: Final answer
    x = 307,449.31

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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.