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Finding the Fourth Proportional to 827,765.78, 1,142,730.14 and 541,722.78

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Solution

The fourth proportional to 827,765.78, 1,142,730.14 and 541,722.78 is: 747,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,765.78 : 1,142,730.14 = 541,722.78 : x
  2. Step 2: Convert to fraction form
    827,765.78/1,142,730.14 = 541,722.78/x
  3. Step 3: Cross multiply
    827,765.78x = 1,142,730.14 × 541,722.78
  4. Step 4: Simplify right side
    827,765.78x = 619,042,945,521.98
  5. Step 5: Solve for x
    x = 619,042,945,521.98/827,765.78
  6. Step 6: Final answer
    x = 747,847.96

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