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Finding the Fourth Proportional to 490,517.68, 677,099.38 and 286,634.90

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Solution

The fourth proportional to 490,517.68, 677,099.38 and 286,634.90 is: 395,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,517.68 : 677,099.38 = 286,634.90 : x
  2. Step 2: Convert to fraction form
    490,517.68/677,099.38 = 286,634.90/x
  3. Step 3: Cross multiply
    490,517.68x = 677,099.38 × 286,634.90
  4. Step 4: Simplify right side
    490,517.68x = 194,080,313,076.36
  5. Step 5: Solve for x
    x = 194,080,313,076.36/490,517.68
  6. Step 6: Final answer
    x = 395,664.26

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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.