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Finding the Fourth Proportional to 494,294.55, 741,434.89 and 194,777.73

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Solution

The fourth proportional to 494,294.55, 741,434.89 and 194,777.73 is: 292,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,294.55 : 741,434.89 = 194,777.73 : x
  2. Step 2: Convert to fraction form
    494,294.55/741,434.89 = 194,777.73/x
  3. Step 3: Cross multiply
    494,294.55x = 741,434.89 × 194,777.73
  4. Step 4: Simplify right side
    494,294.55x = 144,415,004,817.00
  5. Step 5: Solve for x
    x = 144,415,004,817.00/494,294.55
  6. Step 6: Final answer
    x = 292,163.86

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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.