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Finding the Fourth Proportional to 323,822.30, 446,863.84 and 178,633.89

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Solution

The fourth proportional to 323,822.30, 446,863.84 and 178,633.89 is: 246,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,822.30 : 446,863.84 = 178,633.89 : x
  2. Step 2: Convert to fraction form
    323,822.30/446,863.84 = 178,633.89/x
  3. Step 3: Cross multiply
    323,822.30x = 446,863.84 × 178,633.89
  4. Step 4: Simplify right side
    323,822.30x = 79,825,025,592.95
  5. Step 5: Solve for x
    x = 79,825,025,592.95/323,822.30
  6. Step 6: Final answer
    x = 246,508.74

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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.