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Finding the Fourth Proportional to 392,192.88, 541,215.66 and 222,423.36

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Solution

The fourth proportional to 392,192.88, 541,215.66 and 222,423.36 is: 306,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,192.88 : 541,215.66 = 222,423.36 : x
  2. Step 2: Convert to fraction form
    392,192.88/541,215.66 = 222,423.36/x
  3. Step 3: Cross multiply
    392,192.88x = 541,215.66 × 222,423.36
  4. Step 4: Simplify right side
    392,192.88x = 120,379,005,581.82
  5. Step 5: Solve for x
    x = 120,379,005,581.82/392,192.88
  6. Step 6: Final answer
    x = 306,938.27

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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.