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Finding the Fourth Proportional to 297,515.07, 410,742.50 and 225,769.59

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Solution

The fourth proportional to 297,515.07, 410,742.50 and 225,769.59 is: 311,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,515.07 : 410,742.50 = 225,769.59 : x
  2. Step 2: Convert to fraction form
    297,515.07/410,742.50 = 225,769.59/x
  3. Step 3: Cross multiply
    297,515.07x = 410,742.50 × 225,769.59
  4. Step 4: Simplify right side
    297,515.07x = 92,733,164,691.73
  5. Step 5: Solve for x
    x = 92,733,164,691.73/297,515.07
  6. Step 6: Final answer
    x = 311,692.33

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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.