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Finding the Fourth Proportional to 322,200.46, 444,624.26 and 178,969.64

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Solution

The fourth proportional to 322,200.46, 444,624.26 and 178,969.64 is: 246,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,200.46 : 444,624.26 = 178,969.64 : x
  2. Step 2: Convert to fraction form
    322,200.46/444,624.26 = 178,969.64/x
  3. Step 3: Cross multiply
    322,200.46x = 444,624.26 × 178,969.64
  4. Step 4: Simplify right side
    322,200.46x = 79,574,243,747.47
  5. Step 5: Solve for x
    x = 79,574,243,747.47/322,200.46
  6. Step 6: Final answer
    x = 246,971.23

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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.