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Finding the Fourth Proportional to 417,716.41, 576,449.18 and 226,729.75

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Solution

The fourth proportional to 417,716.41, 576,449.18 and 226,729.75 is: 312,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,716.41 : 576,449.18 = 226,729.75 : x
  2. Step 2: Convert to fraction form
    417,716.41/576,449.18 = 226,729.75/x
  3. Step 3: Cross multiply
    417,716.41x = 576,449.18 × 226,729.75
  4. Step 4: Simplify right side
    417,716.41x = 130,698,178,469.11
  5. Step 5: Solve for x
    x = 130,698,178,469.11/417,716.41
  6. Step 6: Final answer
    x = 312,887.34

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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.