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Finding the Fourth Proportional to 312,249.70, 468,375.72 and 75,592

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Solution

The fourth proportional to 312,249.70, 468,375.72 and 75,592 is: 113,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,249.70 : 468,375.72 = 75,592 : x
  2. Step 2: Convert to fraction form
    312,249.70/468,375.72 = 75,592/x
  3. Step 3: Cross multiply
    312,249.70x = 468,375.72 × 75,592
  4. Step 4: Simplify right side
    312,249.70x = 35,405,457,426.24
  5. Step 5: Solve for x
    x = 35,405,457,426.24/312,249.70
  6. Step 6: Final answer
    x = 113,388.28

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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.