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Finding the Fourth Proportional to 291,793.88, 437,729.10 and 114,277.82

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Solution

The fourth proportional to 291,793.88, 437,729.10 and 114,277.82 is: 171,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793.88 : 437,729.10 = 114,277.82 : x
  2. Step 2: Convert to fraction form
    291,793.88/437,729.10 = 114,277.82/x
  3. Step 3: Cross multiply
    291,793.88x = 437,729.10 × 114,277.82
  4. Step 4: Simplify right side
    291,793.88x = 50,022,729,472.38
  5. Step 5: Solve for x
    x = 50,022,729,472.38/291,793.88
  6. Step 6: Final answer
    x = 171,431.73

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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.