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Finding the Fourth Proportional to 397,364.87, 596,067.90 and 131,146.14

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Solution

The fourth proportional to 397,364.87, 596,067.90 and 131,146.14 is: 196,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,364.87 : 596,067.90 = 131,146.14 : x
  2. Step 2: Convert to fraction form
    397,364.87/596,067.90 = 131,146.14/x
  3. Step 3: Cross multiply
    397,364.87x = 596,067.90 × 131,146.14
  4. Step 4: Simplify right side
    397,364.87x = 78,172,004,262.91
  5. Step 5: Solve for x
    x = 78,172,004,262.91/397,364.87
  6. Step 6: Final answer
    x = 196,726.01

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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.