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Finding the Fourth Proportional to 321,523.77, 443,725.11 and 178,297.14

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Solution

The fourth proportional to 321,523.77, 443,725.11 and 178,297.14 is: 246,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.77 : 443,725.11 = 178,297.14 : x
  2. Step 2: Convert to fraction form
    321,523.77/443,725.11 = 178,297.14/x
  3. Step 3: Cross multiply
    321,523.77x = 443,725.11 × 178,297.14
  4. Step 4: Simplify right side
    321,523.77x = 79,114,918,059.19
  5. Step 5: Solve for x
    x = 79,114,918,059.19/321,523.77
  6. Step 6: Final answer
    x = 246,062.42

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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.