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Finding the Fourth Proportional to 321,523.52, 443,724.77 and 178,296.89

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Solution

The fourth proportional to 321,523.52, 443,724.77 and 178,296.89 is: 246,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.52 : 443,724.77 = 178,296.89 : x
  2. Step 2: Convert to fraction form
    321,523.52/443,724.77 = 178,296.89/x
  3. Step 3: Cross multiply
    321,523.52x = 443,724.77 × 178,296.89
  4. Step 4: Simplify right side
    321,523.52x = 79,114,745,615.48
  5. Step 5: Solve for x
    x = 79,114,745,615.48/321,523.52
  6. Step 6: Final answer
    x = 246,062.08

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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.