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Finding the Fourth Proportional to 360,896.72, 498,027.48 and 199,747.76

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Solution

The fourth proportional to 360,896.72, 498,027.48 and 199,747.76 is: 275,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,896.72 : 498,027.48 = 199,747.76 : x
  2. Step 2: Convert to fraction form
    360,896.72/498,027.48 = 199,747.76/x
  3. Step 3: Cross multiply
    360,896.72x = 498,027.48 × 199,747.76
  4. Step 4: Simplify right side
    360,896.72x = 99,479,873,548.44
  5. Step 5: Solve for x
    x = 99,479,873,548.44/360,896.72
  6. Step 6: Final answer
    x = 275,646.38

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Why These Related Problems?

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