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Finding the Fourth Proportional to 321,796.89, 444,082.77 and 178,570.26

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Solution

The fourth proportional to 321,796.89, 444,082.77 and 178,570.26 is: 246,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,796.89 : 444,082.77 = 178,570.26 : x
  2. Step 2: Convert to fraction form
    321,796.89/444,082.77 = 178,570.26/x
  3. Step 3: Cross multiply
    321,796.89x = 444,082.77 × 178,570.26
  4. Step 4: Simplify right side
    321,796.89x = 79,299,975,700.42
  5. Step 5: Solve for x
    x = 79,299,975,700.42/321,796.89
  6. Step 6: Final answer
    x = 246,428.66

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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.