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Finding the Fourth Proportional to 300,451.20, 414,622.65 and 166,315.20

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Solution

The fourth proportional to 300,451.20, 414,622.65 and 166,315.20 is: 229,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,451.20 : 414,622.65 = 166,315.20 : x
  2. Step 2: Convert to fraction form
    300,451.20/414,622.65 = 166,315.20/x
  3. Step 3: Cross multiply
    300,451.20x = 414,622.65 × 166,315.20
  4. Step 4: Simplify right side
    300,451.20x = 68,958,048,959.28
  5. Step 5: Solve for x
    x = 68,958,048,959.28/300,451.20
  6. Step 6: Final answer
    x = 229,514.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.