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Finding the Fourth Proportional to 323,769.80, 486,237.90 and 313,272.20

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Solution

The fourth proportional to 323,769.80, 486,237.90 and 313,272.20 is: 470,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769.80 : 486,237.90 = 313,272.20 : x
  2. Step 2: Convert to fraction form
    323,769.80/486,237.90 = 313,272.20/x
  3. Step 3: Cross multiply
    323,769.80x = 486,237.90 × 313,272.20
  4. Step 4: Simplify right side
    323,769.80x = 152,324,816,656.38
  5. Step 5: Solve for x
    x = 152,324,816,656.38/323,769.80
  6. Step 6: Final answer
    x = 470,472.59

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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.