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Finding the Fourth Proportional to 384,336.09, 576,267.57 and 264,538.44

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Solution

The fourth proportional to 384,336.09, 576,267.57 and 264,538.44 is: 396,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,336.09 : 576,267.57 = 264,538.44 : x
  2. Step 2: Convert to fraction form
    384,336.09/576,267.57 = 264,538.44/x
  3. Step 3: Cross multiply
    384,336.09x = 576,267.57 × 264,538.44
  4. Step 4: Simplify right side
    384,336.09x = 152,444,923,990.39
  5. Step 5: Solve for x
    x = 152,444,923,990.39/384,336.09
  6. Step 6: Final answer
    x = 396,644.83

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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.