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Finding the Fourth Proportional to 465,912.50, 698,370.24 and 241,046.42

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Solution

The fourth proportional to 465,912.50, 698,370.24 and 241,046.42 is: 361,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,912.50 : 698,370.24 = 241,046.42 : x
  2. Step 2: Convert to fraction form
    465,912.50/698,370.24 = 241,046.42/x
  3. Step 3: Cross multiply
    465,912.50x = 698,370.24 × 241,046.42
  4. Step 4: Simplify right side
    465,912.50x = 168,339,646,186.54
  5. Step 5: Solve for x
    x = 168,339,646,186.54/465,912.50
  6. Step 6: Final answer
    x = 361,311.72

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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.