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Finding the Fourth Proportional to 503,489.88, 694,820.70 and 277,137

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Solution

The fourth proportional to 503,489.88, 694,820.70 and 277,137 is: 382,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,489.88 : 694,820.70 = 277,137 : x
  2. Step 2: Convert to fraction form
    503,489.88/694,820.70 = 277,137/x
  3. Step 3: Cross multiply
    503,489.88x = 694,820.70 × 277,137
  4. Step 4: Simplify right side
    503,489.88x = 192,560,524,335.90
  5. Step 5: Solve for x
    x = 192,560,524,335.90/503,489.88
  6. Step 6: Final answer
    x = 382,451.63

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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.