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Finding the Fourth Proportional to 313,821.80, 470,732.70 and 187,850.60

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Solution

The fourth proportional to 313,821.80, 470,732.70 and 187,850.60 is: 281,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.80 : 470,732.70 = 187,850.60 : x
  2. Step 2: Convert to fraction form
    313,821.80/470,732.70 = 187,850.60/x
  3. Step 3: Cross multiply
    313,821.80x = 470,732.70 × 187,850.60
  4. Step 4: Simplify right side
    313,821.80x = 88,427,420,134.62
  5. Step 5: Solve for x
    x = 88,427,420,134.62/313,821.80
  6. Step 6: Final answer
    x = 281,775.90

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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.