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Finding the Fourth Proportional to 498,022.14, 687,269.74 and 271,667.64

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Solution

The fourth proportional to 498,022.14, 687,269.74 and 271,667.64 is: 374,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,022.14 : 687,269.74 = 271,667.64 : x
  2. Step 2: Convert to fraction form
    498,022.14/687,269.74 = 271,667.64/x
  3. Step 3: Cross multiply
    498,022.14x = 687,269.74 × 271,667.64
  4. Step 4: Simplify right side
    498,022.14x = 186,708,948,309.21
  5. Step 5: Solve for x
    x = 186,708,948,309.21/498,022.14
  6. Step 6: Final answer
    x = 374,900.90

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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.