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Finding the Fourth Proportional to 339,446.58, 468,384.21 and 196,178.96

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Solution

The fourth proportional to 339,446.58, 468,384.21 and 196,178.96 is: 270,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,446.58 : 468,384.21 = 196,178.96 : x
  2. Step 2: Convert to fraction form
    339,446.58/468,384.21 = 196,178.96/x
  3. Step 3: Cross multiply
    339,446.58x = 468,384.21 × 196,178.96
  4. Step 4: Simplify right side
    339,446.58x = 91,887,124,856.30
  5. Step 5: Solve for x
    x = 91,887,124,856.30/339,446.58
  6. Step 6: Final answer
    x = 270,696.86

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Why These Related Problems?

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