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Finding the Fourth Proportional to 297,993.22, 411,219.30 and 162,027.27

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Solution

The fourth proportional to 297,993.22, 411,219.30 and 162,027.27 is: 223,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,993.22 : 411,219.30 = 162,027.27 : x
  2. Step 2: Convert to fraction form
    297,993.22/411,219.30 = 162,027.27/x
  3. Step 3: Cross multiply
    297,993.22x = 411,219.30 × 162,027.27
  4. Step 4: Simplify right side
    297,993.22x = 66,628,740,550.31
  5. Step 5: Solve for x
    x = 66,628,740,550.31/297,993.22
  6. Step 6: Final answer
    x = 223,591.46

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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.