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Finding the Fourth Proportional to 541,420.20, 811,906.74 and 204,403.50

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Solution

The fourth proportional to 541,420.20, 811,906.74 and 204,403.50 is: 306,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,420.20 : 811,906.74 = 204,403.50 : x
  2. Step 2: Convert to fraction form
    541,420.20/811,906.74 = 204,403.50/x
  3. Step 3: Cross multiply
    541,420.20x = 811,906.74 × 204,403.50
  4. Step 4: Simplify right side
    541,420.20x = 165,956,579,329.59
  5. Step 5: Solve for x
    x = 165,956,579,329.59/541,420.20
  6. Step 6: Final answer
    x = 306,520.85

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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.