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Finding the Fourth Proportional to 503,493.62, 694,821.39 and 277,137.50

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Solution

The fourth proportional to 503,493.62, 694,821.39 and 277,137.50 is: 382,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,493.62 : 694,821.39 = 277,137.50 : x
  2. Step 2: Convert to fraction form
    503,493.62/694,821.39 = 277,137.50/x
  3. Step 3: Cross multiply
    503,493.62x = 694,821.39 × 277,137.50
  4. Step 4: Simplify right side
    503,493.62x = 192,561,062,971.13
  5. Step 5: Solve for x
    x = 192,561,062,971.13/503,493.62
  6. Step 6: Final answer
    x = 382,449.86

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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.