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Finding the Fourth Proportional to 357,332.82, 493,120.27 and 196,198.31

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Solution

The fourth proportional to 357,332.82, 493,120.27 and 196,198.31 is: 270,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,332.82 : 493,120.27 = 196,198.31 : x
  2. Step 2: Convert to fraction form
    357,332.82/493,120.27 = 196,198.31/x
  3. Step 3: Cross multiply
    357,332.82x = 493,120.27 × 196,198.31
  4. Step 4: Simplify right side
    357,332.82x = 96,749,361,135.14
  5. Step 5: Solve for x
    x = 96,749,361,135.14/357,332.82
  6. Step 6: Final answer
    x = 270,754.20

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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.