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Finding the Fourth Proportional to 306,033.15, 422,256.56 and 185,171.43

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Solution

The fourth proportional to 306,033.15, 422,256.56 and 185,171.43 is: 255,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,033.15 : 422,256.56 = 185,171.43 : x
  2. Step 2: Convert to fraction form
    306,033.15/422,256.56 = 185,171.43/x
  3. Step 3: Cross multiply
    306,033.15x = 422,256.56 × 185,171.43
  4. Step 4: Simplify right side
    306,033.15x = 78,189,850,116.22
  5. Step 5: Solve for x
    x = 78,189,850,116.22/306,033.15
  6. Step 6: Final answer
    x = 255,494.71

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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.