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Finding the Fourth Proportional to 477,057.20, 658,340.36 and 262,219.28

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Solution

The fourth proportional to 477,057.20, 658,340.36 and 262,219.28 is: 361,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,057.20 : 658,340.36 = 262,219.28 : x
  2. Step 2: Convert to fraction form
    477,057.20/658,340.36 = 262,219.28/x
  3. Step 3: Cross multiply
    477,057.20x = 658,340.36 × 262,219.28
  4. Step 4: Simplify right side
    477,057.20x = 172,629,531,902.44
  5. Step 5: Solve for x
    x = 172,629,531,902.44/477,057.20
  6. Step 6: Final answer
    x = 361,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.