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Finding the Fourth Proportional to 494,469.88, 741,204.58 and 194,833.96

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Solution

The fourth proportional to 494,469.88, 741,204.58 and 194,833.96 is: 292,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,469.88 : 741,204.58 = 194,833.96 : x
  2. Step 2: Convert to fraction form
    494,469.88/741,204.58 = 194,833.96/x
  3. Step 3: Cross multiply
    494,469.88x = 741,204.58 × 194,833.96
  4. Step 4: Simplify right side
    494,469.88x = 144,411,823,491.54
  5. Step 5: Solve for x
    x = 144,411,823,491.54/494,469.88
  6. Step 6: Final answer
    x = 292,053.83

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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.