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Finding the Fourth Proportional to 310,776.66, 428,716.53 and 196,197.30

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Solution

The fourth proportional to 310,776.66, 428,716.53 and 196,197.30 is: 270,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,776.66 : 428,716.53 = 196,197.30 : x
  2. Step 2: Convert to fraction form
    310,776.66/428,716.53 = 196,197.30/x
  3. Step 3: Cross multiply
    310,776.66x = 428,716.53 × 196,197.30
  4. Step 4: Simplify right side
    310,776.66x = 84,113,025,651.37
  5. Step 5: Solve for x
    x = 84,113,025,651.37/310,776.66
  6. Step 6: Final answer
    x = 270,654.26

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