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Finding the Fourth Proportional to 298,297.41, 411,650.48 and 164,161.41

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Solution

The fourth proportional to 298,297.41, 411,650.48 and 164,161.41 is: 226,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.41 : 411,650.48 = 164,161.41 : x
  2. Step 2: Convert to fraction form
    298,297.41/411,650.48 = 164,161.41/x
  3. Step 3: Cross multiply
    298,297.41x = 411,650.48 × 164,161.41
  4. Step 4: Simplify right side
    298,297.41x = 67,577,123,223.98
  5. Step 5: Solve for x
    x = 67,577,123,223.98/298,297.41
  6. Step 6: Final answer
    x = 226,542.78

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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.