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Finding the Fourth Proportional to 264,764.70, 396,175.05 and 194,780.70

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Solution

The fourth proportional to 264,764.70, 396,175.05 and 194,780.70 is: 291,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,764.70 : 396,175.05 = 194,780.70 : x
  2. Step 2: Convert to fraction form
    264,764.70/396,175.05 = 194,780.70/x
  3. Step 3: Cross multiply
    264,764.70x = 396,175.05 × 194,780.70
  4. Step 4: Simplify right side
    264,764.70x = 77,167,253,561.54
  5. Step 5: Solve for x
    x = 77,167,253,561.54/264,764.70
  6. Step 6: Final answer
    x = 291,455.97

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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.