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Finding the Fourth Proportional to 717,974.01, 990,850.86 and 412,149.38

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Solution

The fourth proportional to 717,974.01, 990,850.86 and 412,149.38 is: 568,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,974.01 : 990,850.86 = 412,149.38 : x
  2. Step 2: Convert to fraction form
    717,974.01/990,850.86 = 412,149.38/x
  3. Step 3: Cross multiply
    717,974.01x = 990,850.86 × 412,149.38
  4. Step 4: Simplify right side
    717,974.01x = 408,378,562,667.21
  5. Step 5: Solve for x
    x = 408,378,562,667.21/717,974.01
  6. Step 6: Final answer
    x = 568,792.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.