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Finding the Fourth Proportional to 431,957.80, 647,742.30 and 165,629.80

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Solution

The fourth proportional to 431,957.80, 647,742.30 and 165,629.80 is: 248,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,957.80 : 647,742.30 = 165,629.80 : x
  2. Step 2: Convert to fraction form
    431,957.80/647,742.30 = 165,629.80/x
  3. Step 3: Cross multiply
    431,957.80x = 647,742.30 × 165,629.80
  4. Step 4: Simplify right side
    431,957.80x = 107,285,427,600.54
  5. Step 5: Solve for x
    x = 107,285,427,600.54/431,957.80
  6. Step 6: Final answer
    x = 248,370.16

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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.