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Finding the Fourth Proportional to 335,896.36, 463,502.68 and 206,814.36

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Solution

The fourth proportional to 335,896.36, 463,502.68 and 206,814.36 is: 285,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,896.36 : 463,502.68 = 206,814.36 : x
  2. Step 2: Convert to fraction form
    335,896.36/463,502.68 = 206,814.36/x
  3. Step 3: Cross multiply
    335,896.36x = 463,502.68 × 206,814.36
  4. Step 4: Simplify right side
    335,896.36x = 95,859,010,122.48
  5. Step 5: Solve for x
    x = 95,859,010,122.48/335,896.36
  6. Step 6: Final answer
    x = 285,382.70

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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.