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Finding the Fourth Proportional to 395,851.68, 593,881.20 and 196,164

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Solution

The fourth proportional to 395,851.68, 593,881.20 and 196,164 is: 294,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,851.68 : 593,881.20 = 196,164 : x
  2. Step 2: Convert to fraction form
    395,851.68/593,881.20 = 196,164/x
  3. Step 3: Cross multiply
    395,851.68x = 593,881.20 × 196,164
  4. Step 4: Simplify right side
    395,851.68x = 116,498,111,716.80
  5. Step 5: Solve for x
    x = 116,498,111,716.80/395,851.68
  6. Step 6: Final answer
    x = 294,297.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.