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Finding the Fourth Proportional to 431,686.30, 647,160.24 and 165,637.76

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Solution

The fourth proportional to 431,686.30, 647,160.24 and 165,637.76 is: 248,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.30 : 647,160.24 = 165,637.76 : x
  2. Step 2: Convert to fraction form
    431,686.30/647,160.24 = 165,637.76/x
  3. Step 3: Cross multiply
    431,686.30x = 647,160.24 × 165,637.76
  4. Step 4: Simplify right side
    431,686.30x = 107,194,172,514.66
  5. Step 5: Solve for x
    x = 107,194,172,514.66/431,686.30
  6. Step 6: Final answer
    x = 248,314.97

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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.