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Finding the Fourth Proportional to 321,896.28, 444,208.36 and 178,652.64

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Solution

The fourth proportional to 321,896.28, 444,208.36 and 178,652.64 is: 246,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896.28 : 444,208.36 = 178,652.64 : x
  2. Step 2: Convert to fraction form
    321,896.28/444,208.36 = 178,652.64/x
  3. Step 3: Cross multiply
    321,896.28x = 444,208.36 × 178,652.64
  4. Step 4: Simplify right side
    321,896.28x = 79,358,996,224.07
  5. Step 5: Solve for x
    x = 79,358,996,224.07/321,896.28
  6. Step 6: Final answer
    x = 246,535.92

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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.