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Finding the Fourth Proportional to 323,787.75, 446,827.10 and 189,651.75

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Solution

The fourth proportional to 323,787.75, 446,827.10 and 189,651.75 is: 261,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,787.75 : 446,827.10 = 189,651.75 : x
  2. Step 2: Convert to fraction form
    323,787.75/446,827.10 = 189,651.75/x
  3. Step 3: Cross multiply
    323,787.75x = 446,827.10 × 189,651.75
  4. Step 4: Simplify right side
    323,787.75x = 84,741,541,462.43
  5. Step 5: Solve for x
    x = 84,741,541,462.43/323,787.75
  6. Step 6: Final answer
    x = 261,719.42

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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.