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Finding the Fourth Proportional to 313,763.01, 469,481.75 and 187,471.97

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Solution

The fourth proportional to 313,763.01, 469,481.75 and 187,471.97 is: 280,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,763.01 : 469,481.75 = 187,471.97 : x
  2. Step 2: Convert to fraction form
    313,763.01/469,481.75 = 187,471.97/x
  3. Step 3: Cross multiply
    313,763.01x = 469,481.75 × 187,471.97
  4. Step 4: Simplify right side
    313,763.01x = 88,014,668,551.55
  5. Step 5: Solve for x
    x = 88,014,668,551.55/313,763.01
  6. Step 6: Final answer
    x = 280,513.21

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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.