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Finding the Fourth Proportional to 353,198.42, 487,403.62 and 200,250.81

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Solution

The fourth proportional to 353,198.42, 487,403.62 and 200,250.81 is: 276,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,198.42 : 487,403.62 = 200,250.81 : x
  2. Step 2: Convert to fraction form
    353,198.42/487,403.62 = 200,250.81/x
  3. Step 3: Cross multiply
    353,198.42x = 487,403.62 × 200,250.81
  4. Step 4: Simplify right side
    353,198.42x = 97,602,969,201.31
  5. Step 5: Solve for x
    x = 97,602,969,201.31/353,198.42
  6. Step 6: Final answer
    x = 276,340.33

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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.