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Finding the Fourth Proportional to 431,678.30, 647,148.25 and 165,629.75

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Solution

The fourth proportional to 431,678.30, 647,148.25 and 165,629.75 is: 248,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,678.30 : 647,148.25 = 165,629.75 : x
  2. Step 2: Convert to fraction form
    431,678.30/647,148.25 = 165,629.75/x
  3. Step 3: Cross multiply
    431,678.30x = 647,148.25 × 165,629.75
  4. Step 4: Simplify right side
    431,678.30x = 107,187,002,032.29
  5. Step 5: Solve for x
    x = 107,187,002,032.29/431,678.30
  6. Step 6: Final answer
    x = 248,302.97

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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.