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Finding the Fourth Proportional to 296,298, 408,891.24 and 162,162

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Solution

The fourth proportional to 296,298, 408,891.24 and 162,162 is: 223,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,298 : 408,891.24 = 162,162 : x
  2. Step 2: Convert to fraction form
    296,298/408,891.24 = 162,162/x
  3. Step 3: Cross multiply
    296,298x = 408,891.24 × 162,162
  4. Step 4: Simplify right side
    296,298x = 66,306,621,260.88
  5. Step 5: Solve for x
    x = 66,306,621,260.88/296,298
  6. Step 6: Final answer
    x = 223,783.56

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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.