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Finding the Fourth Proportional to 362,579.90, 500,431.84 and 231,673.82

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Solution

The fourth proportional to 362,579.90, 500,431.84 and 231,673.82 is: 319,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,579.90 : 500,431.84 = 231,673.82 : x
  2. Step 2: Convert to fraction form
    362,579.90/500,431.84 = 231,673.82/x
  3. Step 3: Cross multiply
    362,579.90x = 500,431.84 × 231,673.82
  4. Step 4: Simplify right side
    362,579.90x = 115,936,956,022.43
  5. Step 5: Solve for x
    x = 115,936,956,022.43/362,579.90
  6. Step 6: Final answer
    x = 319,755.61

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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.