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Finding the Fourth Proportional to 300,468.08, 414,634.20 and 166,329.20

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Solution

The fourth proportional to 300,468.08, 414,634.20 and 166,329.20 is: 229,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,468.08 : 414,634.20 = 166,329.20 : x
  2. Step 2: Convert to fraction form
    300,468.08/414,634.20 = 166,329.20/x
  3. Step 3: Cross multiply
    300,468.08x = 414,634.20 × 166,329.20
  4. Step 4: Simplify right side
    300,468.08x = 68,965,774,778.64
  5. Step 5: Solve for x
    x = 68,965,774,778.64/300,468.08
  6. Step 6: Final answer
    x = 229,527.79

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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.