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Finding the Fourth Proportional to 277,471.89, 382,912.22 and 150,147.49

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Solution

The fourth proportional to 277,471.89, 382,912.22 and 150,147.49 is: 207,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,471.89 : 382,912.22 = 150,147.49 : x
  2. Step 2: Convert to fraction form
    277,471.89/382,912.22 = 150,147.49/x
  3. Step 3: Cross multiply
    277,471.89x = 382,912.22 × 150,147.49
  4. Step 4: Simplify right side
    277,471.89x = 57,493,308,141.42
  5. Step 5: Solve for x
    x = 57,493,308,141.42/277,471.89
  6. Step 6: Final answer
    x = 207,204.08

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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.