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Finding the Fourth Proportional to 306,298.23, 422,629.62 and 178,949.22

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Solution

The fourth proportional to 306,298.23, 422,629.62 and 178,949.22 is: 246,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,298.23 : 422,629.62 = 178,949.22 : x
  2. Step 2: Convert to fraction form
    306,298.23/422,629.62 = 178,949.22/x
  3. Step 3: Cross multiply
    306,298.23x = 422,629.62 × 178,949.22
  4. Step 4: Simplify right side
    306,298.23x = 75,629,240,847.90
  5. Step 5: Solve for x
    x = 75,629,240,847.90/306,298.23
  6. Step 6: Final answer
    x = 246,913.74

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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.