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Finding the Fourth Proportional to 308,974.80, 463,462.20 and 143,086.80

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Solution

The fourth proportional to 308,974.80, 463,462.20 and 143,086.80 is: 214,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,974.80 : 463,462.20 = 143,086.80 : x
  2. Step 2: Convert to fraction form
    308,974.80/463,462.20 = 143,086.80/x
  3. Step 3: Cross multiply
    308,974.80x = 463,462.20 × 143,086.80
  4. Step 4: Simplify right side
    308,974.80x = 66,315,323,118.96
  5. Step 5: Solve for x
    x = 66,315,323,118.96/308,974.80
  6. Step 6: Final answer
    x = 214,630.20

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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.