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Finding the Fourth Proportional to 305,911.92, 422,163.72 and 178,592.88

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Solution

The fourth proportional to 305,911.92, 422,163.72 and 178,592.88 is: 246,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,911.92 : 422,163.72 = 178,592.88 : x
  2. Step 2: Convert to fraction form
    305,911.92/422,163.72 = 178,592.88/x
  3. Step 3: Cross multiply
    305,911.92x = 422,163.72 × 178,592.88
  4. Step 4: Simplify right side
    305,911.92x = 75,395,434,586.31
  5. Step 5: Solve for x
    x = 75,395,434,586.31/305,911.92
  6. Step 6: Final answer
    x = 246,461.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.