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Finding the Fourth Proportional to 493,109.55, 739,046.86 and 264,844.21

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Solution

The fourth proportional to 493,109.55, 739,046.86 and 264,844.21 is: 396,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,109.55 : 739,046.86 = 264,844.21 : x
  2. Step 2: Convert to fraction form
    493,109.55/739,046.86 = 264,844.21/x
  3. Step 3: Cross multiply
    493,109.55x = 739,046.86 × 264,844.21
  4. Step 4: Simplify right side
    493,109.55x = 195,732,281,789.68
  5. Step 5: Solve for x
    x = 195,732,281,789.68/493,109.55
  6. Step 6: Final answer
    x = 396,934.68

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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.