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Finding the Fourth Proportional to 306,236.96, 422,558.16 and 185,357.60

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Solution

The fourth proportional to 306,236.96, 422,558.16 and 185,357.60 is: 255,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,236.96 : 422,558.16 = 185,357.60 : x
  2. Step 2: Convert to fraction form
    306,236.96/422,558.16 = 185,357.60/x
  3. Step 3: Cross multiply
    306,236.96x = 422,558.16 × 185,357.60
  4. Step 4: Simplify right side
    306,236.96x = 78,324,366,398.02
  5. Step 5: Solve for x
    x = 78,324,366,398.02/306,236.96
  6. Step 6: Final answer
    x = 255,763.92

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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.