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Finding the Fourth Proportional to 424,089.92, 635,584.44 and 196,299.56

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Solution

The fourth proportional to 424,089.92, 635,584.44 and 196,299.56 is: 294,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,089.92 : 635,584.44 = 196,299.56 : x
  2. Step 2: Convert to fraction form
    424,089.92/635,584.44 = 196,299.56/x
  3. Step 3: Cross multiply
    424,089.92x = 635,584.44 × 196,299.56
  4. Step 4: Simplify right side
    424,089.92x = 124,764,945,914.85
  5. Step 5: Solve for x
    x = 124,764,945,914.85/424,089.92
  6. Step 6: Final answer
    x = 294,194.56

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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.