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Finding the Fourth Proportional to 504,198, 695,793.24 and 277,843.50

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Solution

The fourth proportional to 504,198, 695,793.24 and 277,843.50 is: 383,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,198 : 695,793.24 = 277,843.50 : x
  2. Step 2: Convert to fraction form
    504,198/695,793.24 = 277,843.50/x
  3. Step 3: Cross multiply
    504,198x = 695,793.24 × 277,843.50
  4. Step 4: Simplify right side
    504,198x = 193,321,629,077.94
  5. Step 5: Solve for x
    x = 193,321,629,077.94/504,198
  6. Step 6: Final answer
    x = 383,424.03

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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.