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Finding the Fourth Proportional to 493,954.12, 681,652.92 and 267,598

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Solution

The fourth proportional to 493,954.12, 681,652.92 and 267,598 is: 369,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,954.12 : 681,652.92 = 267,598 : x
  2. Step 2: Convert to fraction form
    493,954.12/681,652.92 = 267,598/x
  3. Step 3: Cross multiply
    493,954.12x = 681,652.92 × 267,598
  4. Step 4: Simplify right side
    493,954.12x = 182,408,958,086.16
  5. Step 5: Solve for x
    x = 182,408,958,086.16/493,954.12
  6. Step 6: Final answer
    x = 369,283.20

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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.