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Finding the Fourth Proportional to 410,536.25, 566,511.79 and 226,766.69

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Solution

The fourth proportional to 410,536.25, 566,511.79 and 226,766.69 is: 312,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,536.25 : 566,511.79 = 226,766.69 : x
  2. Step 2: Convert to fraction form
    410,536.25/566,511.79 = 226,766.69/x
  3. Step 3: Cross multiply
    410,536.25x = 566,511.79 × 226,766.69
  4. Step 4: Simplify right side
    410,536.25x = 128,466,003,464.28
  5. Step 5: Solve for x
    x = 128,466,003,464.28/410,536.25
  6. Step 6: Final answer
    x = 312,922.44

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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.