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Finding the Fourth Proportional to 277,711.84, 416,481.60 and 100,195.76

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Solution

The fourth proportional to 277,711.84, 416,481.60 and 100,195.76 is: 150,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,711.84 : 416,481.60 = 100,195.76 : x
  2. Step 2: Convert to fraction form
    277,711.84/416,481.60 = 100,195.76/x
  3. Step 3: Cross multiply
    277,711.84x = 416,481.60 × 100,195.76
  4. Step 4: Simplify right side
    277,711.84x = 41,729,690,438.02
  5. Step 5: Solve for x
    x = 41,729,690,438.02/277,711.84
  6. Step 6: Final answer
    x = 150,262.55

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1.5x scale

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.