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Finding the Fourth Proportional to 312,424.92, 468,637.38 and 75,767.22

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Solution

The fourth proportional to 312,424.92, 468,637.38 and 75,767.22 is: 113,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424.92 : 468,637.38 = 75,767.22 : x
  2. Step 2: Convert to fraction form
    312,424.92/468,637.38 = 75,767.22/x
  3. Step 3: Cross multiply
    312,424.92x = 468,637.38 × 75,767.22
  4. Step 4: Simplify right side
    312,424.92x = 35,507,351,470.68
  5. Step 5: Solve for x
    x = 35,507,351,470.68/312,424.92
  6. Step 6: Final answer
    x = 113,650.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.