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Finding the Fourth Proportional to 277,147.20, 414,680.76 and 164,414.64

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Solution

The fourth proportional to 277,147.20, 414,680.76 and 164,414.64 is: 246,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,147.20 : 414,680.76 = 164,414.64 : x
  2. Step 2: Convert to fraction form
    277,147.20/414,680.76 = 164,414.64/x
  3. Step 3: Cross multiply
    277,147.20x = 414,680.76 × 164,414.64
  4. Step 4: Simplify right side
    277,147.20x = 68,179,587,870.33
  5. Step 5: Solve for x
    x = 68,179,587,870.33/277,147.20
  6. Step 6: Final answer
    x = 246,004.97

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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.