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Finding the Fourth Proportional to 652,238.52, 978,348.68 and 226,084.56

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Solution

The fourth proportional to 652,238.52, 978,348.68 and 226,084.56 is: 339,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,238.52 : 978,348.68 = 226,084.56 : x
  2. Step 2: Convert to fraction form
    652,238.52/978,348.68 = 226,084.56/x
  3. Step 3: Cross multiply
    652,238.52x = 978,348.68 × 226,084.56
  4. Step 4: Simplify right side
    652,238.52x = 221,189,530,844.38
  5. Step 5: Solve for x
    x = 221,189,530,844.38/652,238.52
  6. Step 6: Final answer
    x = 339,123.69

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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.