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Finding the Fourth Proportional to 651,469.30, 976,963.78 and 224,896.57

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Solution

The fourth proportional to 651,469.30, 976,963.78 and 224,896.57 is: 337,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,469.30 : 976,963.78 = 224,896.57 : x
  2. Step 2: Convert to fraction form
    651,469.30/976,963.78 = 224,896.57/x
  3. Step 3: Cross multiply
    651,469.30x = 976,963.78 × 224,896.57
  4. Step 4: Simplify right side
    651,469.30x = 219,715,800,974.95
  5. Step 5: Solve for x
    x = 219,715,800,974.95/651,469.30
  6. Step 6: Final answer
    x = 337,261.94

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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.