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Finding the Fourth Proportional to 298,183.14, 411,494.55 and 162,218.34

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Solution

The fourth proportional to 298,183.14, 411,494.55 and 162,218.34 is: 223,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,183.14 : 411,494.55 = 162,218.34 : x
  2. Step 2: Convert to fraction form
    298,183.14/411,494.55 = 162,218.34/x
  3. Step 3: Cross multiply
    298,183.14x = 411,494.55 × 162,218.34
  4. Step 4: Simplify right side
    298,183.14x = 66,751,962,820.05
  5. Step 5: Solve for x
    x = 66,751,962,820.05/298,183.14
  6. Step 6: Final answer
    x = 223,862.30

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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.