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Finding the Fourth Proportional to 503,872.47, 695,344.01 and 277,517.97

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Solution

The fourth proportional to 503,872.47, 695,344.01 and 277,517.97 is: 382,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,872.47 : 695,344.01 = 277,517.97 : x
  2. Step 2: Convert to fraction form
    503,872.47/695,344.01 = 277,517.97/x
  3. Step 3: Cross multiply
    503,872.47x = 695,344.01 × 277,517.97
  4. Step 4: Simplify right side
    503,872.47x = 192,970,456,719.27
  5. Step 5: Solve for x
    x = 192,970,456,719.27/503,872.47
  6. Step 6: Final answer
    x = 382,974.80

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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.