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Finding the Fourth Proportional to 313,270.38, 469,958.62 and 108,049.31

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Solution

The fourth proportional to 313,270.38, 469,958.62 and 108,049.31 is: 162,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,270.38 : 469,958.62 = 108,049.31 : x
  2. Step 2: Convert to fraction form
    313,270.38/469,958.62 = 108,049.31/x
  3. Step 3: Cross multiply
    313,270.38x = 469,958.62 × 108,049.31
  4. Step 4: Simplify right side
    313,270.38x = 50,778,701,729.51
  5. Step 5: Solve for x
    x = 50,778,701,729.51/313,270.38
  6. Step 6: Final answer
    x = 162,092.26

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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.