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Finding the Fourth Proportional to 323,380.43, 446,278.43 and 180,140.43

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Solution

The fourth proportional to 323,380.43, 446,278.43 and 180,140.43 is: 248,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,380.43 : 446,278.43 = 180,140.43 : x
  2. Step 2: Convert to fraction form
    323,380.43/446,278.43 = 180,140.43/x
  3. Step 3: Cross multiply
    323,380.43x = 446,278.43 × 180,140.43
  4. Step 4: Simplify right side
    323,380.43x = 80,392,788,730.28
  5. Step 5: Solve for x
    x = 80,392,788,730.28/323,380.43
  6. Step 6: Final answer
    x = 248,601.28

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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.