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Finding the Fourth Proportional to 275,780.43, 413,671.71 and 182,265.39

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Solution

The fourth proportional to 275,780.43, 413,671.71 and 182,265.39 is: 273,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,780.43 : 413,671.71 = 182,265.39 : x
  2. Step 2: Convert to fraction form
    275,780.43/413,671.71 = 182,265.39/x
  3. Step 3: Cross multiply
    275,780.43x = 413,671.71 × 182,265.39
  4. Step 4: Simplify right side
    275,780.43x = 75,398,035,555.12
  5. Step 5: Solve for x
    x = 75,398,035,555.12/275,780.43
  6. Step 6: Final answer
    x = 273,398.79

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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.