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Finding the Fourth Proportional to 652,112.70, 978,169.05 and 428,163.90

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Solution

The fourth proportional to 652,112.70, 978,169.05 and 428,163.90 is: 642,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,112.70 : 978,169.05 = 428,163.90 : x
  2. Step 2: Convert to fraction form
    652,112.70/978,169.05 = 428,163.90/x
  3. Step 3: Cross multiply
    652,112.70x = 978,169.05 × 428,163.90
  4. Step 4: Simplify right side
    652,112.70x = 418,816,675,307.30
  5. Step 5: Solve for x
    x = 418,816,675,307.30/652,112.70
  6. Step 6: Final answer
    x = 642,245.85

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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.