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Finding the Fourth Proportional to 285,797.84, 394,311.24 and 164,923.25

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Solution

The fourth proportional to 285,797.84, 394,311.24 and 164,923.25 is: 227,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,797.84 : 394,311.24 = 164,923.25 : x
  2. Step 2: Convert to fraction form
    285,797.84/394,311.24 = 164,923.25/x
  3. Step 3: Cross multiply
    285,797.84x = 394,311.24 × 164,923.25
  4. Step 4: Simplify right side
    285,797.84x = 65,031,091,212.33
  5. Step 5: Solve for x
    x = 65,031,091,212.33/285,797.84
  6. Step 6: Final answer
    x = 227,542.28

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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.