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Finding the Fourth Proportional to 313,862.30, 470,793.46 and 187,891.10

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Solution

The fourth proportional to 313,862.30, 470,793.46 and 187,891.10 is: 281,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,862.30 : 470,793.46 = 187,891.10 : x
  2. Step 2: Convert to fraction form
    313,862.30/470,793.46 = 187,891.10/x
  3. Step 3: Cross multiply
    313,862.30x = 470,793.46 × 187,891.10
  4. Step 4: Simplify right side
    313,862.30x = 88,457,901,072.21
  5. Step 5: Solve for x
    x = 88,457,901,072.21/313,862.30
  6. Step 6: Final answer
    x = 281,836.66

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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.