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Finding the Fourth Proportional to 323,382.56, 446,281.74 and 180,142.70

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Solution

The fourth proportional to 323,382.56, 446,281.74 and 180,142.70 is: 248,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,382.56 : 446,281.74 = 180,142.70 : x
  2. Step 2: Convert to fraction form
    323,382.56/446,281.74 = 180,142.70/x
  3. Step 3: Cross multiply
    323,382.56x = 446,281.74 × 180,142.70
  4. Step 4: Simplify right side
    323,382.56x = 80,394,397,604.30
  5. Step 5: Solve for x
    x = 80,394,397,604.30/323,382.56
  6. Step 6: Final answer
    x = 248,604.62

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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.