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Finding the Fourth Proportional to 323,284, 446,131.92 and 189,173.92

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Solution

The fourth proportional to 323,284, 446,131.92 and 189,173.92 is: 261,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,284 : 446,131.92 = 189,173.92 : x
  2. Step 2: Convert to fraction form
    323,284/446,131.92 = 189,173.92/x
  3. Step 3: Cross multiply
    323,284x = 446,131.92 × 189,173.92
  4. Step 4: Simplify right side
    323,284x = 84,396,524,143.53
  5. Step 5: Solve for x
    x = 84,396,524,143.53/323,284
  6. Step 6: Final answer
    x = 261,060.01

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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.