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Finding the Fourth Proportional to 397,649, 548,755.62 and 218,801

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Solution

The fourth proportional to 397,649, 548,755.62 and 218,801 is: 301,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,649 : 548,755.62 = 218,801 : x
  2. Step 2: Convert to fraction form
    397,649/548,755.62 = 218,801/x
  3. Step 3: Cross multiply
    397,649x = 548,755.62 × 218,801
  4. Step 4: Simplify right side
    397,649x = 120,068,278,411.62
  5. Step 5: Solve for x
    x = 120,068,278,411.62/397,649
  6. Step 6: Final answer
    x = 301,945.38

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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.