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Finding the Fourth Proportional to 321,712.86, 443,964.27 and 178,472.90

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Solution

The fourth proportional to 321,712.86, 443,964.27 and 178,472.90 is: 246,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.86 : 443,964.27 = 178,472.90 : x
  2. Step 2: Convert to fraction form
    321,712.86/443,964.27 = 178,472.90/x
  3. Step 3: Cross multiply
    321,712.86x = 443,964.27 × 178,472.90
  4. Step 4: Simplify right side
    321,712.86x = 79,235,589,870.92
  5. Step 5: Solve for x
    x = 79,235,589,870.92/321,712.86
  6. Step 6: Final answer
    x = 246,292.89

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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.