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Finding the Fourth Proportional to 533,891.22, 800,278.92 and 178,612.98

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Solution

The fourth proportional to 533,891.22, 800,278.92 and 178,612.98 is: 267,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,891.22 : 800,278.92 = 178,612.98 : x
  2. Step 2: Convert to fraction form
    533,891.22/800,278.92 = 178,612.98/x
  3. Step 3: Cross multiply
    533,891.22x = 800,278.92 × 178,612.98
  4. Step 4: Simplify right side
    533,891.22x = 142,940,202,732.38
  5. Step 5: Solve for x
    x = 142,940,202,732.38/533,891.22
  6. Step 6: Final answer
    x = 267,732.82

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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.