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Finding the Fourth Proportional to 335,896.83, 463,507.16 and 199,908.86

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Solution

The fourth proportional to 335,896.83, 463,507.16 and 199,908.86 is: 275,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,896.83 : 463,507.16 = 199,908.86 : x
  2. Step 2: Convert to fraction form
    335,896.83/463,507.16 = 199,908.86/x
  3. Step 3: Cross multiply
    335,896.83x = 463,507.16 × 199,908.86
  4. Step 4: Simplify right side
    335,896.83x = 92,659,184,640.36
  5. Step 5: Solve for x
    x = 92,659,184,640.36/335,896.83
  6. Step 6: Final answer
    x = 275,856.09

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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.