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Finding the Fourth Proportional to 323,805.57, 446,852.10 and 178,608.09

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Solution

The fourth proportional to 323,805.57, 446,852.10 and 178,608.09 is: 246,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,805.57 : 446,852.10 = 178,608.09 : x
  2. Step 2: Convert to fraction form
    323,805.57/446,852.10 = 178,608.09/x
  3. Step 3: Cross multiply
    323,805.57x = 446,852.10 × 178,608.09
  4. Step 4: Simplify right side
    323,805.57x = 79,811,400,093.49
  5. Step 5: Solve for x
    x = 79,811,400,093.49/323,805.57
  6. Step 6: Final answer
    x = 246,479.39

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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.