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Finding the Fourth Proportional to 652,982.20, 978,161.10 and 440,405.80

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Solution

The fourth proportional to 652,982.20, 978,161.10 and 440,405.80 is: 659,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,982.20 : 978,161.10 = 440,405.80 : x
  2. Step 2: Convert to fraction form
    652,982.20/978,161.10 = 440,405.80/x
  3. Step 3: Cross multiply
    652,982.20x = 978,161.10 × 440,405.80
  4. Step 4: Simplify right side
    652,982.20x = 430,787,821,774.38
  5. Step 5: Solve for x
    x = 430,787,821,774.38/652,982.20
  6. Step 6: Final answer
    x = 659,723.68

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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.