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Finding the Fourth Proportional to 322,083.70, 444,466.97 and 178,840.06

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Solution

The fourth proportional to 322,083.70, 444,466.97 and 178,840.06 is: 246,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,083.70 : 444,466.97 = 178,840.06 : x
  2. Step 2: Convert to fraction form
    322,083.70/444,466.97 = 178,840.06/x
  3. Step 3: Cross multiply
    322,083.70x = 444,466.97 × 178,840.06
  4. Step 4: Simplify right side
    322,083.70x = 79,488,498,688.62
  5. Step 5: Solve for x
    x = 79,488,498,688.62/322,083.70
  6. Step 6: Final answer
    x = 246,794.54

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1.5x scale

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.