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Finding the Fourth Proportional to 322,196.96, 444,619.44 and 178,966.14

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Solution

The fourth proportional to 322,196.96, 444,619.44 and 178,966.14 is: 246,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,196.96 : 444,619.44 = 178,966.14 : x
  2. Step 2: Convert to fraction form
    322,196.96/444,619.44 = 178,966.14/x
  3. Step 3: Cross multiply
    322,196.96x = 444,619.44 × 178,966.14
  4. Step 4: Simplify right side
    322,196.96x = 79,571,824,945.76
  5. Step 5: Solve for x
    x = 79,571,824,945.76/322,196.96
  6. Step 6: Final answer
    x = 246,966.41

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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.