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Finding the Fourth Proportional to 319,781.66, 441,356.46 and 190,728.41

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Solution

The fourth proportional to 319,781.66, 441,356.46 and 190,728.41 is: 263,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,781.66 : 441,356.46 = 190,728.41 : x
  2. Step 2: Convert to fraction form
    319,781.66/441,356.46 = 190,728.41/x
  3. Step 3: Cross multiply
    319,781.66x = 441,356.46 × 190,728.41
  4. Step 4: Simplify right side
    319,781.66x = 84,179,215,859.03
  5. Step 5: Solve for x
    x = 84,179,215,859.03/319,781.66
  6. Step 6: Final answer
    x = 263,239.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.