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Finding the Fourth Proportional to 414,570.24, 571,418.24 and 293,556.48

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Solution

The fourth proportional to 414,570.24, 571,418.24 and 293,556.48 is: 404,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,570.24 : 571,418.24 = 293,556.48 : x
  2. Step 2: Convert to fraction form
    414,570.24/571,418.24 = 293,556.48/x
  3. Step 3: Cross multiply
    414,570.24x = 571,418.24 × 293,556.48
  4. Step 4: Simplify right side
    414,570.24x = 167,743,527,142.20
  5. Step 5: Solve for x
    x = 167,743,527,142.20/414,570.24
  6. Step 6: Final answer
    x = 404,620.28

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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.