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Finding the Fourth Proportional to 498,022.60, 746,580.30 and 182,403.40

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Solution

The fourth proportional to 498,022.60, 746,580.30 and 182,403.40 is: 273,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,022.60 : 746,580.30 = 182,403.40 : x
  2. Step 2: Convert to fraction form
    498,022.60/746,580.30 = 182,403.40/x
  3. Step 3: Cross multiply
    498,022.60x = 746,580.30 × 182,403.40
  4. Step 4: Simplify right side
    498,022.60x = 136,178,785,093.02
  5. Step 5: Solve for x
    x = 136,178,785,093.02/498,022.60
  6. Step 6: Final answer
    x = 273,438.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.