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Finding the Fourth Proportional to 543,971.78, 815,374.31 and 263,102.66

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Solution

The fourth proportional to 543,971.78, 815,374.31 and 263,102.66 is: 394,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,971.78 : 815,374.31 = 263,102.66 : x
  2. Step 2: Convert to fraction form
    543,971.78/815,374.31 = 263,102.66/x
  3. Step 3: Cross multiply
    543,971.78x = 815,374.31 × 263,102.66
  4. Step 4: Simplify right side
    543,971.78x = 214,527,149,856.67
  5. Step 5: Solve for x
    x = 214,527,149,856.67/543,971.78
  6. Step 6: Final answer
    x = 394,371.84

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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.