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Finding the Fourth Proportional to 289,747.30, 434,620.95 and 261,753.70

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Solution

The fourth proportional to 289,747.30, 434,620.95 and 261,753.70 is: 392,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,747.30 : 434,620.95 = 261,753.70 : x
  2. Step 2: Convert to fraction form
    289,747.30/434,620.95 = 261,753.70/x
  3. Step 3: Cross multiply
    289,747.30x = 434,620.95 × 261,753.70
  4. Step 4: Simplify right side
    289,747.30x = 113,763,641,760.02
  5. Step 5: Solve for x
    x = 113,763,641,760.02/289,747.30
  6. Step 6: Final answer
    x = 392,630.55

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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.