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Finding the Fourth Proportional to 323,899.38, 446,860.64 and 187,857.04

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Solution

The fourth proportional to 323,899.38, 446,860.64 and 187,857.04 is: 259,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,899.38 : 446,860.64 = 187,857.04 : x
  2. Step 2: Convert to fraction form
    323,899.38/446,860.64 = 187,857.04/x
  3. Step 3: Cross multiply
    323,899.38x = 446,860.64 × 187,857.04
  4. Step 4: Simplify right side
    323,899.38x = 83,945,917,122.91
  5. Step 5: Solve for x
    x = 83,945,917,122.91/323,899.38
  6. Step 6: Final answer
    x = 259,172.82

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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.