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Finding the Fourth Proportional to 307,648.67, 461,470.26 and 107,922.26

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Solution

The fourth proportional to 307,648.67, 461,470.26 and 107,922.26 is: 161,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,648.67 : 461,470.26 = 107,922.26 : x
  2. Step 2: Convert to fraction form
    307,648.67/461,470.26 = 107,922.26/x
  3. Step 3: Cross multiply
    307,648.67x = 461,470.26 × 107,922.26
  4. Step 4: Simplify right side
    307,648.67x = 49,802,912,344.60
  5. Step 5: Solve for x
    x = 49,802,912,344.60/307,648.67
  6. Step 6: Final answer
    x = 161,882.43

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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.