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Finding the Fourth Proportional to 321,694.80, 482,849.40 and 275,000.40

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Solution

The fourth proportional to 321,694.80, 482,849.40 and 275,000.40 is: 412,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,694.80 : 482,849.40 = 275,000.40 : x
  2. Step 2: Convert to fraction form
    321,694.80/482,849.40 = 275,000.40/x
  3. Step 3: Cross multiply
    321,694.80x = 482,849.40 × 275,000.40
  4. Step 4: Simplify right side
    321,694.80x = 132,783,778,139.76
  5. Step 5: Solve for x
    x = 132,783,778,139.76/321,694.80
  6. Step 6: Final answer
    x = 412,763.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.