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Finding the Fourth Proportional to 323,778.87, 446,820.35 and 178,601.31

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Solution

The fourth proportional to 323,778.87, 446,820.35 and 178,601.31 is: 246,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,778.87 : 446,820.35 = 178,601.31 : x
  2. Step 2: Convert to fraction form
    323,778.87/446,820.35 = 178,601.31/x
  3. Step 3: Cross multiply
    323,778.87x = 446,820.35 × 178,601.31
  4. Step 4: Simplify right side
    323,778.87x = 79,802,698,951.65
  5. Step 5: Solve for x
    x = 79,802,698,951.65/323,778.87
  6. Step 6: Final answer
    x = 246,472.84

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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.