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Finding the Fourth Proportional to 331,416, 496,197.72 and 179,067.36

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Solution

The fourth proportional to 331,416, 496,197.72 and 179,067.36 is: 268,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,416 : 496,197.72 = 179,067.36 : x
  2. Step 2: Convert to fraction form
    331,416/496,197.72 = 179,067.36/x
  3. Step 3: Cross multiply
    331,416x = 496,197.72 × 179,067.36
  4. Step 4: Simplify right side
    331,416x = 88,852,815,758.42
  5. Step 5: Solve for x
    x = 88,852,815,758.42/331,416
  6. Step 6: Final answer
    x = 268,100.56

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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.