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Finding the Fourth Proportional to 322,382.10, 483,670.35 and 172,694.10

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Solution

The fourth proportional to 322,382.10, 483,670.35 and 172,694.10 is: 259,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,382.10 : 483,670.35 = 172,694.10 : x
  2. Step 2: Convert to fraction form
    322,382.10/483,670.35 = 172,694.10/x
  3. Step 3: Cross multiply
    322,382.10x = 483,670.35 × 172,694.10
  4. Step 4: Simplify right side
    322,382.10x = 83,527,015,789.94
  5. Step 5: Solve for x
    x = 83,527,015,789.94/322,382.10
  6. Step 6: Final answer
    x = 259,093.22

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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.