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Finding the Fourth Proportional to 274,787.59, 411,644.76 and 189,383.17

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Solution

The fourth proportional to 274,787.59, 411,644.76 and 189,383.17 is: 283,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,787.59 : 411,644.76 = 189,383.17 : x
  2. Step 2: Convert to fraction form
    274,787.59/411,644.76 = 189,383.17/x
  3. Step 3: Cross multiply
    274,787.59x = 411,644.76 × 189,383.17
  4. Step 4: Simplify right side
    274,787.59x = 77,958,589,562.69
  5. Step 5: Solve for x
    x = 77,958,589,562.69/274,787.59
  6. Step 6: Final answer
    x = 283,704.91

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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.