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Finding the Fourth Proportional to 356,524.27, 491,989.39 and 213,198.91

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Solution

The fourth proportional to 356,524.27, 491,989.39 and 213,198.91 is: 294,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,524.27 : 491,989.39 = 213,198.91 : x
  2. Step 2: Convert to fraction form
    356,524.27/491,989.39 = 213,198.91/x
  3. Step 3: Cross multiply
    356,524.27x = 491,989.39 × 213,198.91
  4. Step 4: Simplify right side
    356,524.27x = 104,891,601,679.57
  5. Step 5: Solve for x
    x = 104,891,601,679.57/356,524.27
  6. Step 6: Final answer
    x = 294,206.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.