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Finding the Fourth Proportional to 300,442.25, 414,610.31 and 166,306.25

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Solution

The fourth proportional to 300,442.25, 414,610.31 and 166,306.25 is: 229,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,442.25 : 414,610.31 = 166,306.25 : x
  2. Step 2: Convert to fraction form
    300,442.25/414,610.31 = 166,306.25/x
  3. Step 3: Cross multiply
    300,442.25x = 414,610.31 × 166,306.25
  4. Step 4: Simplify right side
    300,442.25x = 68,952,285,867.44
  5. Step 5: Solve for x
    x = 68,952,285,867.44/300,442.25
  6. Step 6: Final answer
    x = 229,502.63

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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.