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Finding the Fourth Proportional to 323,806.44, 446,855.79 and 178,617.78

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Solution

The fourth proportional to 323,806.44, 446,855.79 and 178,617.78 is: 246,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,806.44 : 446,855.79 = 178,617.78 : x
  2. Step 2: Convert to fraction form
    323,806.44/446,855.79 = 178,617.78/x
  3. Step 3: Cross multiply
    323,806.44x = 446,855.79 × 178,617.78
  4. Step 4: Simplify right side
    323,806.44x = 79,816,389,189.95
  5. Step 5: Solve for x
    x = 79,816,389,189.95/323,806.44
  6. Step 6: Final answer
    x = 246,494.14

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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.