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Finding the Fourth Proportional to 285,825.60, 394,410.90 and 165,005.80

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Solution

The fourth proportional to 285,825.60, 394,410.90 and 165,005.80 is: 227,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,825.60 : 394,410.90 = 165,005.80 : x
  2. Step 2: Convert to fraction form
    285,825.60/394,410.90 = 165,005.80/x
  3. Step 3: Cross multiply
    285,825.60x = 394,410.90 × 165,005.80
  4. Step 4: Simplify right side
    285,825.60x = 65,080,086,083.22
  5. Step 5: Solve for x
    x = 65,080,086,083.22/285,825.60
  6. Step 6: Final answer
    x = 227,691.59

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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.