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Finding the Fourth Proportional to 352,361.80, 527,462.70 and 194,105.80

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Solution

The fourth proportional to 352,361.80, 527,462.70 and 194,105.80 is: 290,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,361.80 : 527,462.70 = 194,105.80 : x
  2. Step 2: Convert to fraction form
    352,361.80/527,462.70 = 194,105.80/x
  3. Step 3: Cross multiply
    352,361.80x = 527,462.70 × 194,105.80
  4. Step 4: Simplify right side
    352,361.80x = 102,383,569,353.66
  5. Step 5: Solve for x
    x = 102,383,569,353.66/352,361.80
  6. Step 6: Final answer
    x = 290,563.76

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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.