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Finding the Fourth Proportional to 353,098.57, 487,273.98 and 200,165.60

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Solution

The fourth proportional to 353,098.57, 487,273.98 and 200,165.60 is: 276,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,098.57 : 487,273.98 = 200,165.60 : x
  2. Step 2: Convert to fraction form
    353,098.57/487,273.98 = 200,165.60/x
  3. Step 3: Cross multiply
    353,098.57x = 487,273.98 × 200,165.60
  4. Step 4: Simplify right side
    353,098.57x = 97,535,488,571.09
  5. Step 5: Solve for x
    x = 97,535,488,571.09/353,098.57
  6. Step 6: Final answer
    x = 276,227.37

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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.