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Finding the Fourth Proportional to 277,505, 382,958.04 and 150,180.56

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Solution

The fourth proportional to 277,505, 382,958.04 and 150,180.56 is: 207,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,505 : 382,958.04 = 150,180.56 : x
  2. Step 2: Convert to fraction form
    277,505/382,958.04 = 150,180.56/x
  3. Step 3: Cross multiply
    277,505x = 382,958.04 × 150,180.56
  4. Step 4: Simplify right side
    277,505x = 57,512,852,903.70
  5. Step 5: Solve for x
    x = 57,512,852,903.70/277,505
  6. Step 6: Final answer
    x = 207,249.79

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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.