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Finding the Fourth Proportional to 503,896.97, 695,377.82 and 277,542.47

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Solution

The fourth proportional to 503,896.97, 695,377.82 and 277,542.47 is: 383,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,896.97 : 695,377.82 = 277,542.47 : x
  2. Step 2: Convert to fraction form
    503,896.97/695,377.82 = 277,542.47/x
  3. Step 3: Cross multiply
    503,896.97x = 695,377.82 × 277,542.47
  4. Step 4: Simplify right side
    503,896.97x = 192,996,876,358.30
  5. Step 5: Solve for x
    x = 192,996,876,358.30/503,896.97
  6. Step 6: Final answer
    x = 383,008.61

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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.