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Finding the Fourth Proportional to 397,796.85, 595,745.49 and 228,962.28

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Solution

The fourth proportional to 397,796.85, 595,745.49 and 228,962.28 is: 342,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,796.85 : 595,745.49 = 228,962.28 : x
  2. Step 2: Convert to fraction form
    397,796.85/595,745.49 = 228,962.28/x
  3. Step 3: Cross multiply
    397,796.85x = 595,745.49 × 228,962.28
  4. Step 4: Simplify right side
    397,796.85x = 136,403,245,690.12
  5. Step 5: Solve for x
    x = 136,403,245,690.12/397,796.85
  6. Step 6: Final answer
    x = 342,896.75

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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.