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Finding the Fourth Proportional to 277,568, 416,363.52 and 80,576

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Solution

The fourth proportional to 277,568, 416,363.52 and 80,576 is: 120,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,568 : 416,363.52 = 80,576 : x
  2. Step 2: Convert to fraction form
    277,568/416,363.52 = 80,576/x
  3. Step 3: Cross multiply
    277,568x = 416,363.52 × 80,576
  4. Step 4: Simplify right side
    277,568x = 33,548,906,987.52
  5. Step 5: Solve for x
    x = 33,548,906,987.52/277,568
  6. Step 6: Final answer
    x = 120,867.34

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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.