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Finding the Fourth Proportional to 300,640.26, 414,883.73 and 164,676.48

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Solution

The fourth proportional to 300,640.26, 414,883.73 and 164,676.48 is: 227,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,640.26 : 414,883.73 = 164,676.48 : x
  2. Step 2: Convert to fraction form
    300,640.26/414,883.73 = 164,676.48/x
  3. Step 3: Cross multiply
    300,640.26x = 414,883.73 × 164,676.48
  4. Step 4: Simplify right side
    300,640.26x = 68,321,591,442.29
  5. Step 5: Solve for x
    x = 68,321,591,442.29/300,640.26
  6. Step 6: Final answer
    x = 227,253.63

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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.