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Finding the Fourth Proportional to 494,197.30, 682,004.10 and 279,338.19

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Solution

The fourth proportional to 494,197.30, 682,004.10 and 279,338.19 is: 385,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,197.30 : 682,004.10 = 279,338.19 : x
  2. Step 2: Convert to fraction form
    494,197.30/682,004.10 = 279,338.19/x
  3. Step 3: Cross multiply
    494,197.30x = 682,004.10 × 279,338.19
  4. Step 4: Simplify right side
    494,197.30x = 190,509,790,866.58
  5. Step 5: Solve for x
    x = 190,509,790,866.58/494,197.30
  6. Step 6: Final answer
    x = 385,493.39

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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.