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Finding the Fourth Proportional to 613,517.36, 920,165.20 and 214,272.28

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Solution

The fourth proportional to 613,517.36, 920,165.20 and 214,272.28 is: 321,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,517.36 : 920,165.20 = 214,272.28 : x
  2. Step 2: Convert to fraction form
    613,517.36/920,165.20 = 214,272.28/x
  3. Step 3: Cross multiply
    613,517.36x = 920,165.20 × 214,272.28
  4. Step 4: Simplify right side
    613,517.36x = 197,165,895,380.66
  5. Step 5: Solve for x
    x = 197,165,895,380.66/613,517.36
  6. Step 6: Final answer
    x = 321,369.71

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1.5x scale

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.