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Finding the Fourth Proportional to 408,993.48, 613,205.61 and 181,165.41

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Solution

The fourth proportional to 408,993.48, 613,205.61 and 181,165.41 is: 271,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,993.48 : 613,205.61 = 181,165.41 : x
  2. Step 2: Convert to fraction form
    408,993.48/613,205.61 = 181,165.41/x
  3. Step 3: Cross multiply
    408,993.48x = 613,205.61 × 181,165.41
  4. Step 4: Simplify right side
    408,993.48x = 111,091,645,749.95
  5. Step 5: Solve for x
    x = 111,091,645,749.95/408,993.48
  6. Step 6: Final answer
    x = 271,622.05

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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.