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Finding the Fourth Proportional to 285,979.34, 394,686.48 and 165,120.42

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Solution

The fourth proportional to 285,979.34, 394,686.48 and 165,120.42 is: 227,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,979.34 : 394,686.48 = 165,120.42 : x
  2. Step 2: Convert to fraction form
    285,979.34/394,686.48 = 165,120.42/x
  3. Step 3: Cross multiply
    285,979.34x = 394,686.48 × 165,120.42
  4. Step 4: Simplify right side
    285,979.34x = 65,170,797,345.92
  5. Step 5: Solve for x
    x = 65,170,797,345.92/285,979.34
  6. Step 6: Final answer
    x = 227,886.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.