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Finding the Fourth Proportional to 384,550.92, 530,691.21 and 214,795.98

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Solution

The fourth proportional to 384,550.92, 530,691.21 and 214,795.98 is: 296,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,550.92 : 530,691.21 = 214,795.98 : x
  2. Step 2: Convert to fraction form
    384,550.92/530,691.21 = 214,795.98/x
  3. Step 3: Cross multiply
    384,550.92x = 530,691.21 × 214,795.98
  4. Step 4: Simplify right side
    384,550.92x = 113,990,339,121.64
  5. Step 5: Solve for x
    x = 113,990,339,121.64/384,550.92
  6. Step 6: Final answer
    x = 296,424.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.