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Finding the Fourth Proportional to 503,761.36, 694,982.04 and 299,771.44

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Solution

The fourth proportional to 503,761.36, 694,982.04 and 299,771.44 is: 413,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,761.36 : 694,982.04 = 299,771.44 : x
  2. Step 2: Convert to fraction form
    503,761.36/694,982.04 = 299,771.44/x
  3. Step 3: Cross multiply
    503,761.36x = 694,982.04 × 299,771.44
  4. Step 4: Simplify right side
    503,761.36x = 208,335,766,904.94
  5. Step 5: Solve for x
    x = 208,335,766,904.94/503,761.36
  6. Step 6: Final answer
    x = 413,560.43

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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.