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Finding the Fourth Proportional to 323,878.44, 446,788.80 and 216,591.24

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Solution

The fourth proportional to 323,878.44, 446,788.80 and 216,591.24 is: 298,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,878.44 : 446,788.80 = 216,591.24 : x
  2. Step 2: Convert to fraction form
    323,878.44/446,788.80 = 216,591.24/x
  3. Step 3: Cross multiply
    323,878.44x = 446,788.80 × 216,591.24
  4. Step 4: Simplify right side
    323,878.44x = 96,770,540,210.11
  5. Step 5: Solve for x
    x = 96,770,540,210.11/323,878.44
  6. Step 6: Final answer
    x = 298,786.61

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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.