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Finding the Fourth Proportional to 652,834.20, 978,473.70 and 273,754.20

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Solution

The fourth proportional to 652,834.20, 978,473.70 and 273,754.20 is: 410,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,834.20 : 978,473.70 = 273,754.20 : x
  2. Step 2: Convert to fraction form
    652,834.20/978,473.70 = 273,754.20/x
  3. Step 3: Cross multiply
    652,834.20x = 978,473.70 × 273,754.20
  4. Step 4: Simplify right side
    652,834.20x = 267,861,284,964.54
  5. Step 5: Solve for x
    x = 267,861,284,964.54/652,834.20
  6. Step 6: Final answer
    x = 410,305.23

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Why These Related Problems?

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