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Finding the Fourth Proportional to 298,662.42, 412,149.38 and 162,697.99

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Solution

The fourth proportional to 298,662.42, 412,149.38 and 162,697.99 is: 224,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,662.42 : 412,149.38 = 162,697.99 : x
  2. Step 2: Convert to fraction form
    298,662.42/412,149.38 = 162,697.99/x
  3. Step 3: Cross multiply
    298,662.42x = 412,149.38 × 162,697.99
  4. Step 4: Simplify right side
    298,662.42x = 67,055,876,022.63
  5. Step 5: Solve for x
    x = 67,055,876,022.63/298,662.42
  6. Step 6: Final answer
    x = 224,520.64

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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.