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Finding the Fourth Proportional to 412,285.26, 618,827.01 and 199,203.11

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Solution

The fourth proportional to 412,285.26, 618,827.01 and 199,203.11 is: 298,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,285.26 : 618,827.01 = 199,203.11 : x
  2. Step 2: Convert to fraction form
    412,285.26/618,827.01 = 199,203.11/x
  3. Step 3: Cross multiply
    412,285.26x = 618,827.01 × 199,203.11
  4. Step 4: Simplify right side
    412,285.26x = 123,272,264,944.00
  5. Step 5: Solve for x
    x = 123,272,264,944.00/412,285.26
  6. Step 6: Final answer
    x = 298,997.51

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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.