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Finding the Fourth Proportional to 277,896.52, 383,496.17 and 150,572.44

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Solution

The fourth proportional to 277,896.52, 383,496.17 and 150,572.44 is: 207,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.52 : 383,496.17 = 150,572.44 : x
  2. Step 2: Convert to fraction form
    277,896.52/383,496.17 = 150,572.44/x
  3. Step 3: Cross multiply
    277,896.52x = 383,496.17 × 150,572.44
  4. Step 4: Simplify right side
    277,896.52x = 57,743,954,047.55
  5. Step 5: Solve for x
    x = 57,743,954,047.55/277,896.52
  6. Step 6: Final answer
    x = 207,789.41

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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.