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Finding the Fourth Proportional to 384,105.76, 530,092.56 and 214,372.96

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Solution

The fourth proportional to 384,105.76, 530,092.56 and 214,372.96 is: 295,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,105.76 : 530,092.56 = 214,372.96 : x
  2. Step 2: Convert to fraction form
    384,105.76/530,092.56 = 214,372.96/x
  3. Step 3: Cross multiply
    384,105.76x = 530,092.56 × 214,372.96
  4. Step 4: Simplify right side
    384,105.76x = 113,637,511,161.18
  5. Step 5: Solve for x
    x = 113,637,511,161.18/384,105.76
  6. Step 6: Final answer
    x = 295,849.54

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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.