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Finding the Fourth Proportional to 414,249.78, 621,410.21 and 177,536.19

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Solution

The fourth proportional to 414,249.78, 621,410.21 and 177,536.19 is: 266,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,249.78 : 621,410.21 = 177,536.19 : x
  2. Step 2: Convert to fraction form
    414,249.78/621,410.21 = 177,536.19/x
  3. Step 3: Cross multiply
    414,249.78x = 621,410.21 × 177,536.19
  4. Step 4: Simplify right side
    414,249.78x = 110,322,801,110.50
  5. Step 5: Solve for x
    x = 110,322,801,110.50/414,249.78
  6. Step 6: Final answer
    x = 266,319.52

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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.