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Finding the Fourth Proportional to 538,962.90, 808,306.46 and 159,794.97

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Solution

The fourth proportional to 538,962.90, 808,306.46 and 159,794.97 is: 239,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,962.90 : 808,306.46 = 159,794.97 : x
  2. Step 2: Convert to fraction form
    538,962.90/808,306.46 = 159,794.97/x
  3. Step 3: Cross multiply
    538,962.90x = 808,306.46 × 159,794.97
  4. Step 4: Simplify right side
    538,962.90x = 129,163,305,727.53
  5. Step 5: Solve for x
    x = 129,163,305,727.53/538,962.90
  6. Step 6: Final answer
    x = 239,651.57

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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.