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Finding the Fourth Proportional to 339,198.72, 468,075.96 and 188,286

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Solution

The fourth proportional to 339,198.72, 468,075.96 and 188,286 is: 259,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,198.72 : 468,075.96 = 188,286 : x
  2. Step 2: Convert to fraction form
    339,198.72/468,075.96 = 188,286/x
  3. Step 3: Cross multiply
    339,198.72x = 468,075.96 × 188,286
  4. Step 4: Simplify right side
    339,198.72x = 88,132,150,204.56
  5. Step 5: Solve for x
    x = 88,132,150,204.56/339,198.72
  6. Step 6: Final answer
    x = 259,824.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.