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Finding the Fourth Proportional to 277,489.37, 382,935.31 and 150,164.97

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Solution

The fourth proportional to 277,489.37, 382,935.31 and 150,164.97 is: 207,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.37 : 382,935.31 = 150,164.97 : x
  2. Step 2: Convert to fraction form
    277,489.37/382,935.31 = 150,164.97/x
  3. Step 3: Cross multiply
    277,489.37x = 382,935.31 × 150,164.97
  4. Step 4: Simplify right side
    277,489.37x = 57,503,469,338.09
  5. Step 5: Solve for x
    x = 57,503,469,338.09/277,489.37
  6. Step 6: Final answer
    x = 207,227.65

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1.5x scale

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.