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Finding the Fourth Proportional to 414,832.24, 622,773.54 and 254,514.24

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Solution

The fourth proportional to 414,832.24, 622,773.54 and 254,514.24 is: 382,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,832.24 : 622,773.54 = 254,514.24 : x
  2. Step 2: Convert to fraction form
    414,832.24/622,773.54 = 254,514.24/x
  3. Step 3: Cross multiply
    414,832.24x = 622,773.54 × 254,514.24
  4. Step 4: Simplify right side
    414,832.24x = 158,504,734,225.21
  5. Step 5: Solve for x
    x = 158,504,734,225.21/414,832.24
  6. Step 6: Final answer
    x = 382,093.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.