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Finding the Fourth Proportional to 397,105.86, 595,672.82 and 127,198.92

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Solution

The fourth proportional to 397,105.86, 595,672.82 and 127,198.92 is: 190,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,105.86 : 595,672.82 = 127,198.92 : x
  2. Step 2: Convert to fraction form
    397,105.86/595,672.82 = 127,198.92/x
  3. Step 3: Cross multiply
    397,105.86x = 595,672.82 × 127,198.92
  4. Step 4: Simplify right side
    397,105.86x = 75,768,941,452.13
  5. Step 5: Solve for x
    x = 75,768,941,452.13/397,105.86
  6. Step 6: Final answer
    x = 190,802.88

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1.5x scale

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.