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Finding the Fourth Proportional to 321,276.38, 443,364.02 and 178,038.80

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Solution

The fourth proportional to 321,276.38, 443,364.02 and 178,038.80 is: 245,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,276.38 : 443,364.02 = 178,038.80 : x
  2. Step 2: Convert to fraction form
    321,276.38/443,364.02 = 178,038.80/x
  3. Step 3: Cross multiply
    321,276.38x = 443,364.02 × 178,038.80
  4. Step 4: Simplify right side
    321,276.38x = 78,935,998,083.98
  5. Step 5: Solve for x
    x = 78,935,998,083.98/321,276.38
  6. Step 6: Final answer
    x = 245,694.99

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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.