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Finding the Fourth Proportional to 323,209.44, 446,036.22 and 179,982.81

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Solution

The fourth proportional to 323,209.44, 446,036.22 and 179,982.81 is: 248,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,209.44 : 446,036.22 = 179,982.81 : x
  2. Step 2: Convert to fraction form
    323,209.44/446,036.22 = 179,982.81/x
  3. Step 3: Cross multiply
    323,209.44x = 446,036.22 × 179,982.81
  4. Step 4: Simplify right side
    323,209.44x = 80,278,852,237.38
  5. Step 5: Solve for x
    x = 80,278,852,237.38/323,209.44
  6. Step 6: Final answer
    x = 248,380.28

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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.