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Finding the Fourth Proportional to 417,682.39, 576,402.25 and 226,695.80

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Solution

The fourth proportional to 417,682.39, 576,402.25 and 226,695.80 is: 312,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,682.39 : 576,402.25 = 226,695.80 : x
  2. Step 2: Convert to fraction form
    417,682.39/576,402.25 = 226,695.80/x
  3. Step 3: Cross multiply
    417,682.39x = 576,402.25 × 226,695.80
  4. Step 4: Simplify right side
    417,682.39x = 130,667,969,185.55
  5. Step 5: Solve for x
    x = 130,667,969,185.55/417,682.39
  6. Step 6: Final answer
    x = 312,840.51

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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.