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Finding the Fourth Proportional to 324,116.78, 447,305.90 and 178,950.56

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Solution

The fourth proportional to 324,116.78, 447,305.90 and 178,950.56 is: 246,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,116.78 : 447,305.90 = 178,950.56 : x
  2. Step 2: Convert to fraction form
    324,116.78/447,305.90 = 178,950.56/x
  3. Step 3: Cross multiply
    324,116.78x = 447,305.90 × 178,950.56
  4. Step 4: Simplify right side
    324,116.78x = 80,045,638,165.02
  5. Step 5: Solve for x
    x = 80,045,638,165.02/324,116.78
  6. Step 6: Final answer
    x = 246,965.43

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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.