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Finding the Fourth Proportional to 467,993.76, 701,408.25 and 227,911.38

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Solution

The fourth proportional to 467,993.76, 701,408.25 and 227,911.38 is: 341,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,993.76 : 701,408.25 = 227,911.38 : x
  2. Step 2: Convert to fraction form
    467,993.76/701,408.25 = 227,911.38/x
  3. Step 3: Cross multiply
    467,993.76x = 701,408.25 × 227,911.38
  4. Step 4: Simplify right side
    467,993.76x = 159,858,922,200.89
  5. Step 5: Solve for x
    x = 159,858,922,200.89/467,993.76
  6. Step 6: Final answer
    x = 341,583.45

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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.