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Finding the Fourth Proportional to 319,198.38, 440,496.80 and 175,963.56

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Solution

The fourth proportional to 319,198.38, 440,496.80 and 175,963.56 is: 242,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,198.38 : 440,496.80 = 175,963.56 : x
  2. Step 2: Convert to fraction form
    319,198.38/440,496.80 = 175,963.56/x
  3. Step 3: Cross multiply
    319,198.38x = 440,496.80 × 175,963.56
  4. Step 4: Simplify right side
    319,198.38x = 77,511,385,096.61
  5. Step 5: Solve for x
    x = 77,511,385,096.61/319,198.38
  6. Step 6: Final answer
    x = 242,831.39

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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.