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Finding the Fourth Proportional to 300,616.16, 414,854.80 and 164,662.64

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Solution

The fourth proportional to 300,616.16, 414,854.80 and 164,662.64 is: 227,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,616.16 : 414,854.80 = 164,662.64 : x
  2. Step 2: Convert to fraction form
    300,616.16/414,854.80 = 164,662.64/x
  3. Step 3: Cross multiply
    300,616.16x = 414,854.80 × 164,662.64
  4. Step 4: Simplify right side
    300,616.16x = 68,311,086,584.67
  5. Step 5: Solve for x
    x = 68,311,086,584.67/300,616.16
  6. Step 6: Final answer
    x = 227,236.91

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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.