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Finding the Fourth Proportional to 274,513.11, 411,757.54 and 74,833.50

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Solution

The fourth proportional to 274,513.11, 411,757.54 and 74,833.50 is: 112,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,513.11 : 411,757.54 = 74,833.50 : x
  2. Step 2: Convert to fraction form
    274,513.11/411,757.54 = 74,833.50/x
  3. Step 3: Cross multiply
    274,513.11x = 411,757.54 × 74,833.50
  4. Step 4: Simplify right side
    274,513.11x = 30,813,259,226.60
  5. Step 5: Solve for x
    x = 30,813,259,226.60/274,513.11
  6. Step 6: Final answer
    x = 112,246.95

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Why These Related Problems?

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