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Finding the Fourth Proportional to 392,366.16, 541,449.36 and 222,596.64

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Solution

The fourth proportional to 392,366.16, 541,449.36 and 222,596.64 is: 307,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,366.16 : 541,449.36 = 222,596.64 : x
  2. Step 2: Convert to fraction form
    392,366.16/541,449.36 = 222,596.64/x
  3. Step 3: Cross multiply
    392,366.16x = 541,449.36 × 222,596.64
  4. Step 4: Simplify right side
    392,366.16x = 120,524,808,266.15
  5. Step 5: Solve for x
    x = 120,524,808,266.15/392,366.16
  6. Step 6: Final answer
    x = 307,174.32

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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.