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Finding the Fourth Proportional to 410,535.75, 566,511.11 and 226,766.19

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Solution

The fourth proportional to 410,535.75, 566,511.11 and 226,766.19 is: 312,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,535.75 : 566,511.11 = 226,766.19 : x
  2. Step 2: Convert to fraction form
    410,535.75/566,511.11 = 226,766.19/x
  3. Step 3: Cross multiply
    410,535.75x = 566,511.11 × 226,766.19
  4. Step 4: Simplify right side
    410,535.75x = 128,465,562,040.98
  5. Step 5: Solve for x
    x = 128,465,562,040.98/410,535.75
  6. Step 6: Final answer
    x = 312,921.75

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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.