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Finding the Fourth Proportional to 264,793.38, 397,186.56 and 65,115.57

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Solution

The fourth proportional to 264,793.38, 397,186.56 and 65,115.57 is: 97,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,793.38 : 397,186.56 = 65,115.57 : x
  2. Step 2: Convert to fraction form
    264,793.38/397,186.56 = 65,115.57/x
  3. Step 3: Cross multiply
    264,793.38x = 397,186.56 × 65,115.57
  4. Step 4: Simplify right side
    264,793.38x = 25,863,029,250.74
  5. Step 5: Solve for x
    x = 25,863,029,250.74/264,793.38
  6. Step 6: Final answer
    x = 97,672.49

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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.