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Finding the Fourth Proportional to 277,876.33, 415,672.69 and 221,825.91

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Solution

The fourth proportional to 277,876.33, 415,672.69 and 221,825.91 is: 331,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,876.33 : 415,672.69 = 221,825.91 : x
  2. Step 2: Convert to fraction form
    277,876.33/415,672.69 = 221,825.91/x
  3. Step 3: Cross multiply
    277,876.33x = 415,672.69 × 221,825.91
  4. Step 4: Simplify right side
    277,876.33x = 92,206,972,721.40
  5. Step 5: Solve for x
    x = 92,206,972,721.40/277,876.33
  6. Step 6: Final answer
    x = 331,827.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.