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Finding the Fourth Proportional to 410,601.60, 616,017.60 and 200,246.40

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Solution

The fourth proportional to 410,601.60, 616,017.60 and 200,246.40 is: 300,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,601.60 : 616,017.60 = 200,246.40 : x
  2. Step 2: Convert to fraction form
    410,601.60/616,017.60 = 200,246.40/x
  3. Step 3: Cross multiply
    410,601.60x = 616,017.60 × 200,246.40
  4. Step 4: Simplify right side
    410,601.60x = 123,355,306,736.64
  5. Step 5: Solve for x
    x = 123,355,306,736.64/410,601.60
  6. Step 6: Final answer
    x = 300,425.78

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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.