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Finding the Fourth Proportional to 321,195.96, 481,669.29 and 171,354.51

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Solution

The fourth proportional to 321,195.96, 481,669.29 and 171,354.51 is: 256,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,195.96 : 481,669.29 = 171,354.51 : x
  2. Step 2: Convert to fraction form
    321,195.96/481,669.29 = 171,354.51/x
  3. Step 3: Cross multiply
    321,195.96x = 481,669.29 × 171,354.51
  4. Step 4: Simplify right side
    321,195.96x = 82,536,205,170.00
  5. Step 5: Solve for x
    x = 82,536,205,170.00/321,195.96
  6. Step 6: Final answer
    x = 256,965.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.