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Finding the Fourth Proportional to 306,214.32, 422,589.82 and 170,262.12

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Solution

The fourth proportional to 306,214.32, 422,589.82 and 170,262.12 is: 234,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,214.32 : 422,589.82 = 170,262.12 : x
  2. Step 2: Convert to fraction form
    306,214.32/422,589.82 = 170,262.12/x
  3. Step 3: Cross multiply
    306,214.32x = 422,589.82 × 170,262.12
  4. Step 4: Simplify right side
    306,214.32x = 71,951,038,643.62
  5. Step 5: Solve for x
    x = 71,951,038,643.62/306,214.32
  6. Step 6: Final answer
    x = 234,969.54

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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.