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Finding the Fourth Proportional to 490,217.52, 676,395.24 and 286,175.83

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Solution

The fourth proportional to 490,217.52, 676,395.24 and 286,175.83 is: 394,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,217.52 : 676,395.24 = 286,175.83 : x
  2. Step 2: Convert to fraction form
    490,217.52/676,395.24 = 286,175.83/x
  3. Step 3: Cross multiply
    490,217.52x = 676,395.24 × 286,175.83
  4. Step 4: Simplify right side
    490,217.52x = 193,567,969,215.05
  5. Step 5: Solve for x
    x = 193,567,969,215.05/490,217.52
  6. Step 6: Final answer
    x = 394,861.39

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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.