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Finding the Fourth Proportional to 296,713.44, 445,183.92 and 178,468.56

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Solution

The fourth proportional to 296,713.44, 445,183.92 and 178,468.56 is: 267,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,713.44 : 445,183.92 = 178,468.56 : x
  2. Step 2: Convert to fraction form
    296,713.44/445,183.92 = 178,468.56/x
  3. Step 3: Cross multiply
    296,713.44x = 445,183.92 × 178,468.56
  4. Step 4: Simplify right side
    296,713.44x = 79,451,333,137.56
  5. Step 5: Solve for x
    x = 79,451,333,137.56/296,713.44
  6. Step 6: Final answer
    x = 267,771.26

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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.