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Finding the Fourth Proportional to 827,771.78, 1,142,738.42 and 541,728.78

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Solution

The fourth proportional to 827,771.78, 1,142,738.42 and 541,728.78 is: 747,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,771.78 : 1,142,738.42 = 541,728.78 : x
  2. Step 2: Convert to fraction form
    827,771.78/1,142,738.42 = 541,728.78/x
  3. Step 3: Cross multiply
    827,771.78x = 1,142,738.42 × 541,728.78
  4. Step 4: Simplify right side
    827,771.78x = 619,054,290,125.73
  5. Step 5: Solve for x
    x = 619,054,290,125.73/827,771.78
  6. Step 6: Final answer
    x = 747,856.24

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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.