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Finding the Fourth Proportional to 262,802.20, 394,232.10 and 254,507.80

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Solution

The fourth proportional to 262,802.20, 394,232.10 and 254,507.80 is: 381,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,802.20 : 394,232.10 = 254,507.80 : x
  2. Step 2: Convert to fraction form
    262,802.20/394,232.10 = 254,507.80/x
  3. Step 3: Cross multiply
    262,802.20x = 394,232.10 × 254,507.80
  4. Step 4: Simplify right side
    262,802.20x = 100,335,144,460.38
  5. Step 5: Solve for x
    x = 100,335,144,460.38/262,802.20
  6. Step 6: Final answer
    x = 381,789.59

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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.