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Finding the Fourth Proportional to 300,460.50, 414,635.49 and 166,324.50

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Solution

The fourth proportional to 300,460.50, 414,635.49 and 166,324.50 is: 229,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,460.50 : 414,635.49 = 166,324.50 : x
  2. Step 2: Convert to fraction form
    300,460.50/414,635.49 = 166,324.50/x
  3. Step 3: Cross multiply
    300,460.50x = 414,635.49 × 166,324.50
  4. Step 4: Simplify right side
    300,460.50x = 68,964,040,556.51
  5. Step 5: Solve for x
    x = 68,964,040,556.51/300,460.50
  6. Step 6: Final answer
    x = 229,527.81

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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.