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Finding the Fourth Proportional to 412,015.64, 617,926.64 and 232,179.44

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Solution

The fourth proportional to 412,015.64, 617,926.64 and 232,179.44 is: 348,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,015.64 : 617,926.64 = 232,179.44 : x
  2. Step 2: Convert to fraction form
    412,015.64/617,926.64 = 232,179.44/x
  3. Step 3: Cross multiply
    412,015.64x = 617,926.64 × 232,179.44
  4. Step 4: Simplify right side
    412,015.64x = 143,469,861,236.28
  5. Step 5: Solve for x
    x = 143,469,861,236.28/412,015.64
  6. Step 6: Final answer
    x = 348,214.60

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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.