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Finding the Fourth Proportional to 466,338.22, 698,839.89 and 200,027.50

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Solution

The fourth proportional to 466,338.22, 698,839.89 and 200,027.50 is: 299,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,338.22 : 698,839.89 = 200,027.50 : x
  2. Step 2: Convert to fraction form
    466,338.22/698,839.89 = 200,027.50/x
  3. Step 3: Cross multiply
    466,338.22x = 698,839.89 × 200,027.50
  4. Step 4: Simplify right side
    466,338.22x = 139,787,193,599.77
  5. Step 5: Solve for x
    x = 139,787,193,599.77/466,338.22
  6. Step 6: Final answer
    x = 299,754.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.