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Finding the Fourth Proportional to 324,654.42, 448,022.16 and 181,414.56

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Solution

The fourth proportional to 324,654.42, 448,022.16 and 181,414.56 is: 250,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654.42 : 448,022.16 = 181,414.56 : x
  2. Step 2: Convert to fraction form
    324,654.42/448,022.16 = 181,414.56/x
  3. Step 3: Cross multiply
    324,654.42x = 448,022.16 × 181,414.56
  4. Step 4: Simplify right side
    324,654.42x = 81,277,743,026.65
  5. Step 5: Solve for x
    x = 81,277,743,026.65/324,654.42
  6. Step 6: Final answer
    x = 250,351.57

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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.