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Finding the Fourth Proportional to 652,115.30, 978,464.55 and 231,692.90

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Solution

The fourth proportional to 652,115.30, 978,464.55 and 231,692.90 is: 347,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,115.30 : 978,464.55 = 231,692.90 : x
  2. Step 2: Convert to fraction form
    652,115.30/978,464.55 = 231,692.90/x
  3. Step 3: Cross multiply
    652,115.30x = 978,464.55 × 231,692.90
  4. Step 4: Simplify right side
    652,115.30x = 226,703,289,136.70
  5. Step 5: Solve for x
    x = 226,703,289,136.70/652,115.30
  6. Step 6: Final answer
    x = 347,642.95

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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.