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Finding the Fourth Proportional to 313,822.80, 470,734.20 and 274,456.80

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Solution

The fourth proportional to 313,822.80, 470,734.20 and 274,456.80 is: 411,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.80 : 470,734.20 = 274,456.80 : x
  2. Step 2: Convert to fraction form
    313,822.80/470,734.20 = 274,456.80/x
  3. Step 3: Cross multiply
    313,822.80x = 470,734.20 × 274,456.80
  4. Step 4: Simplify right side
    313,822.80x = 129,196,202,182.56
  5. Step 5: Solve for x
    x = 129,196,202,182.56/313,822.80
  6. Step 6: Final answer
    x = 411,685.20

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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.