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Finding the Fourth Proportional to 312,523.59, 468,781.97 and 75,866.27

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Solution

The fourth proportional to 312,523.59, 468,781.97 and 75,866.27 is: 113,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,523.59 : 468,781.97 = 75,866.27 : x
  2. Step 2: Convert to fraction form
    312,523.59/468,781.97 = 75,866.27/x
  3. Step 3: Cross multiply
    312,523.59x = 468,781.97 × 75,866.27
  4. Step 4: Simplify right side
    312,523.59x = 35,564,739,847.56
  5. Step 5: Solve for x
    x = 35,564,739,847.56/312,523.59
  6. Step 6: Final answer
    x = 113,798.58

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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.