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Finding the Fourth Proportional to 392,174.58, 541,200.93 and 222,408.72

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Solution

The fourth proportional to 392,174.58, 541,200.93 and 222,408.72 is: 306,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,174.58 : 541,200.93 = 222,408.72 : x
  2. Step 2: Convert to fraction form
    392,174.58/541,200.93 = 222,408.72/x
  3. Step 3: Cross multiply
    392,174.58x = 541,200.93 × 222,408.72
  4. Step 4: Simplify right side
    392,174.58x = 120,367,806,104.11
  5. Step 5: Solve for x
    x = 120,367,806,104.11/392,174.58
  6. Step 6: Final answer
    x = 306,924.04

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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.