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Finding the Fourth Proportional to 652,135.40, 978,375.90 and 231,367.40

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Solution

The fourth proportional to 652,135.40, 978,375.90 and 231,367.40 is: 347,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,135.40 : 978,375.90 = 231,367.40 : x
  2. Step 2: Convert to fraction form
    652,135.40/978,375.90 = 231,367.40/x
  3. Step 3: Cross multiply
    652,135.40x = 978,375.90 × 231,367.40
  4. Step 4: Simplify right side
    652,135.40x = 226,364,288,205.66
  5. Step 5: Solve for x
    x = 226,364,288,205.66/652,135.40
  6. Step 6: Final answer
    x = 347,112.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.