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Finding the Fourth Proportional to 323,716.91, 446,815.49 and 191,225.79

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Solution

The fourth proportional to 323,716.91, 446,815.49 and 191,225.79 is: 263,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.91 : 446,815.49 = 191,225.79 : x
  2. Step 2: Convert to fraction form
    323,716.91/446,815.49 = 191,225.79/x
  3. Step 3: Cross multiply
    323,716.91x = 446,815.49 × 191,225.79
  4. Step 4: Simplify right side
    323,716.91x = 85,442,645,059.49
  5. Step 5: Solve for x
    x = 85,442,645,059.49/323,716.91
  6. Step 6: Final answer
    x = 263,942.48

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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.