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Finding the Fourth Proportional to 323,872.86, 446,924.34 and 178,680.51

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Solution

The fourth proportional to 323,872.86, 446,924.34 and 178,680.51 is: 246,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,872.86 : 446,924.34 = 178,680.51 : x
  2. Step 2: Convert to fraction form
    323,872.86/446,924.34 = 178,680.51/x
  3. Step 3: Cross multiply
    323,872.86x = 446,924.34 × 178,680.51
  4. Step 4: Simplify right side
    323,872.86x = 79,856,669,002.61
  5. Step 5: Solve for x
    x = 79,856,669,002.61/323,872.86
  6. Step 6: Final answer
    x = 246,567.96

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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.