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Finding the Fourth Proportional to 323,787.50, 446,826.75 and 189,651.50

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Solution

The fourth proportional to 323,787.50, 446,826.75 and 189,651.50 is: 261,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,787.50 : 446,826.75 = 189,651.50 : x
  2. Step 2: Convert to fraction form
    323,787.50/446,826.75 = 189,651.50/x
  3. Step 3: Cross multiply
    323,787.50x = 446,826.75 × 189,651.50
  4. Step 4: Simplify right side
    323,787.50x = 84,741,363,377.63
  5. Step 5: Solve for x
    x = 84,741,363,377.63/323,787.50
  6. Step 6: Final answer
    x = 261,719.07

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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.