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Finding the Fourth Proportional to 578,324.56, 865,921.92 and 409,147.96

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Solution

The fourth proportional to 578,324.56, 865,921.92 and 409,147.96 is: 612,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,324.56 : 865,921.92 = 409,147.96 : x
  2. Step 2: Convert to fraction form
    578,324.56/865,921.92 = 409,147.96/x
  3. Step 3: Cross multiply
    578,324.56x = 865,921.92 × 409,147.96
  4. Step 4: Simplify right side
    578,324.56x = 354,290,187,087.28
  5. Step 5: Solve for x
    x = 354,290,187,087.28/578,324.56
  6. Step 6: Final answer
    x = 612,614.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.