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Finding the Fourth Proportional to 323,869.86, 446,920.20 and 178,677.51

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Solution

The fourth proportional to 323,869.86, 446,920.20 and 178,677.51 is: 246,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,869.86 : 446,920.20 = 178,677.51 : x
  2. Step 2: Convert to fraction form
    323,869.86/446,920.20 = 178,677.51/x
  3. Step 3: Cross multiply
    323,869.86x = 446,920.20 × 178,677.51
  4. Step 4: Simplify right side
    323,869.86x = 79,854,588,504.70
  5. Step 5: Solve for x
    x = 79,854,588,504.70/323,869.86
  6. Step 6: Final answer
    x = 246,563.82

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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.