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Finding the Fourth Proportional to 652,212.10, 978,318.15 and 231,433.30

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Solution

The fourth proportional to 652,212.10, 978,318.15 and 231,433.30 is: 347,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,212.10 : 978,318.15 = 231,433.30 : x
  2. Step 2: Convert to fraction form
    652,212.10/978,318.15 = 231,433.30/x
  3. Step 3: Cross multiply
    652,212.10x = 978,318.15 × 231,433.30
  4. Step 4: Simplify right side
    652,212.10x = 226,415,397,904.40
  5. Step 5: Solve for x
    x = 226,415,397,904.40/652,212.10
  6. Step 6: Final answer
    x = 347,149.95

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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.