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Finding the Fourth Proportional to 493,584.60, 741,251.70 and 381,537.30

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Solution

The fourth proportional to 493,584.60, 741,251.70 and 381,537.30 is: 572,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,584.60 : 741,251.70 = 381,537.30 : x
  2. Step 2: Convert to fraction form
    493,584.60/741,251.70 = 381,537.30/x
  3. Step 3: Cross multiply
    493,584.60x = 741,251.70 × 381,537.30
  4. Step 4: Simplify right side
    493,584.60x = 282,815,172,238.41
  5. Step 5: Solve for x
    x = 282,815,172,238.41/493,584.60
  6. Step 6: Final answer
    x = 572,982.16

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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.