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Finding the Fourth Proportional to 414,120.57, 621,326.64 and 203,906.13

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Solution

The fourth proportional to 414,120.57, 621,326.64 and 203,906.13 is: 305,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,120.57 : 621,326.64 = 203,906.13 : x
  2. Step 2: Convert to fraction form
    414,120.57/621,326.64 = 203,906.13/x
  3. Step 3: Cross multiply
    414,120.57x = 621,326.64 × 203,906.13
  4. Step 4: Simplify right side
    414,120.57x = 126,692,310,628.30
  5. Step 5: Solve for x
    x = 126,692,310,628.30/414,120.57
  6. Step 6: Final answer
    x = 305,930.98

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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.