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Finding the Fourth Proportional to 322,082.19, 444,459.96 and 178,833.69

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Solution

The fourth proportional to 322,082.19, 444,459.96 and 178,833.69 is: 246,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,082.19 : 444,459.96 = 178,833.69 : x
  2. Step 2: Convert to fraction form
    322,082.19/444,459.96 = 178,833.69/x
  3. Step 3: Cross multiply
    322,082.19x = 444,459.96 × 178,833.69
  4. Step 4: Simplify right side
    322,082.19x = 79,484,414,704.05
  5. Step 5: Solve for x
    x = 79,484,414,704.05/322,082.19
  6. Step 6: Final answer
    x = 246,783.02

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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.