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Finding the Fourth Proportional to 349,067.32, 523,620.42 and 99,755.80

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Solution

The fourth proportional to 349,067.32, 523,620.42 and 99,755.80 is: 149,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,067.32 : 523,620.42 = 99,755.80 : x
  2. Step 2: Convert to fraction form
    349,067.32/523,620.42 = 99,755.80/x
  3. Step 3: Cross multiply
    349,067.32x = 523,620.42 × 99,755.80
  4. Step 4: Simplify right side
    349,067.32x = 52,234,173,893.44
  5. Step 5: Solve for x
    x = 52,234,173,893.44/349,067.32
  6. Step 6: Final answer
    x = 149,639.26

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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.