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Finding the Fourth Proportional to 494,357.62, 682,286.31 and 313,086.41

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Solution

The fourth proportional to 494,357.62, 682,286.31 and 313,086.41 is: 432,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,357.62 : 682,286.31 = 313,086.41 : x
  2. Step 2: Convert to fraction form
    494,357.62/682,286.31 = 313,086.41/x
  3. Step 3: Cross multiply
    494,357.62x = 682,286.31 × 313,086.41
  4. Step 4: Simplify right side
    494,357.62x = 213,614,566,413.18
  5. Step 5: Solve for x
    x = 213,614,566,413.18/494,357.62
  6. Step 6: Final answer
    x = 432,105.34

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1.5x scale

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.