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Finding the Fourth Proportional to 312,581.64, 468,872.46 and 75,922.73

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Solution

The fourth proportional to 312,581.64, 468,872.46 and 75,922.73 is: 113,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,581.64 : 468,872.46 = 75,922.73 : x
  2. Step 2: Convert to fraction form
    312,581.64/468,872.46 = 75,922.73/x
  3. Step 3: Cross multiply
    312,581.64x = 468,872.46 × 75,922.73
  4. Step 4: Simplify right side
    312,581.64x = 35,598,074,840.65
  5. Step 5: Solve for x
    x = 35,598,074,840.65/312,581.64
  6. Step 6: Final answer
    x = 113,884.09

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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.