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Finding the Fourth Proportional to 613,194.66, 919,796.09 and 213,833.88

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Solution

The fourth proportional to 613,194.66, 919,796.09 and 213,833.88 is: 320,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,194.66 : 919,796.09 = 213,833.88 : x
  2. Step 2: Convert to fraction form
    613,194.66/919,796.09 = 213,833.88/x
  3. Step 3: Cross multiply
    613,194.66x = 919,796.09 × 213,833.88
  4. Step 4: Simplify right side
    613,194.66x = 196,683,565,664.36
  5. Step 5: Solve for x
    x = 196,683,565,664.36/613,194.66
  6. Step 6: Final answer
    x = 320,752.25

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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.