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Finding the Fourth Proportional to 306,205.52, 422,539.61 and 170,231.18

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Solution

The fourth proportional to 306,205.52, 422,539.61 and 170,231.18 is: 234,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,205.52 : 422,539.61 = 170,231.18 : x
  2. Step 2: Convert to fraction form
    306,205.52/422,539.61 = 170,231.18/x
  3. Step 3: Cross multiply
    306,205.52x = 422,539.61 × 170,231.18
  4. Step 4: Simplify right side
    306,205.52x = 71,929,413,443.19
  5. Step 5: Solve for x
    x = 71,929,413,443.19/306,205.52
  6. Step 6: Final answer
    x = 234,905.68

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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.