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Finding the Fourth Proportional to 323,841.87, 446,902.19 and 178,644.37

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Solution

The fourth proportional to 323,841.87, 446,902.19 and 178,644.37 is: 246,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,841.87 : 446,902.19 = 178,644.37 : x
  2. Step 2: Convert to fraction form
    323,841.87/446,902.19 = 178,644.37/x
  3. Step 3: Cross multiply
    323,841.87x = 446,902.19 × 178,644.37
  4. Step 4: Simplify right side
    323,841.87x = 79,836,560,184.17
  5. Step 5: Solve for x
    x = 79,836,560,184.17/323,841.87
  6. Step 6: Final answer
    x = 246,529.46

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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.