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Finding the Fourth Proportional to 323,786, 446,824.68 and 189,650

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Solution

The fourth proportional to 323,786, 446,824.68 and 189,650 is: 261,717

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,786 : 446,824.68 = 189,650 : x
  2. Step 2: Convert to fraction form
    323,786/446,824.68 = 189,650/x
  3. Step 3: Cross multiply
    323,786x = 446,824.68 × 189,650
  4. Step 4: Simplify right side
    323,786x = 84,740,300,562
  5. Step 5: Solve for x
    x = 84,740,300,562/323,786
  6. Step 6: Final answer
    x = 261,717

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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.