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Finding the Fourth Proportional to 312,378.54, 468,563.67 and 75,723.36

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Solution

The fourth proportional to 312,378.54, 468,563.67 and 75,723.36 is: 113,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,378.54 : 468,563.67 = 75,723.36 : x
  2. Step 2: Convert to fraction form
    312,378.54/468,563.67 = 75,723.36/x
  3. Step 3: Cross multiply
    312,378.54x = 468,563.67 × 75,723.36
  4. Step 4: Simplify right side
    312,378.54x = 35,481,215,466.33
  5. Step 5: Solve for x
    x = 35,481,215,466.33/312,378.54
  6. Step 6: Final answer
    x = 113,584.04

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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.