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Finding the Fourth Proportional to 299,043.26, 412,576.20 and 191,672.50

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Solution

The fourth proportional to 299,043.26, 412,576.20 and 191,672.50 is: 264,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,043.26 : 412,576.20 = 191,672.50 : x
  2. Step 2: Convert to fraction form
    299,043.26/412,576.20 = 191,672.50/x
  3. Step 3: Cross multiply
    299,043.26x = 412,576.20 × 191,672.50
  4. Step 4: Simplify right side
    299,043.26x = 79,079,511,694.50
  5. Step 5: Solve for x
    x = 79,079,511,694.50/299,043.26
  6. Step 6: Final answer
    x = 264,441.71

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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.