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Finding the Fourth Proportional to 365,650.12, 548,684.70 and 197,169.67

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Solution

The fourth proportional to 365,650.12, 548,684.70 and 197,169.67 is: 295,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,650.12 : 548,684.70 = 197,169.67 : x
  2. Step 2: Convert to fraction form
    365,650.12/548,684.70 = 197,169.67/x
  3. Step 3: Cross multiply
    365,650.12x = 548,684.70 × 197,169.67
  4. Step 4: Simplify right side
    365,650.12x = 108,183,981,233.05
  5. Step 5: Solve for x
    x = 108,183,981,233.05/365,650.12
  6. Step 6: Final answer
    x = 295,867.48

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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.