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Finding the Fourth Proportional to 357,426.87, 493,262.22 and 196,296.81

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Solution

The fourth proportional to 357,426.87, 493,262.22 and 196,296.81 is: 270,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,426.87 : 493,262.22 = 196,296.81 : x
  2. Step 2: Convert to fraction form
    357,426.87/493,262.22 = 196,296.81/x
  3. Step 3: Cross multiply
    357,426.87x = 493,262.22 × 196,296.81
  4. Step 4: Simplify right side
    357,426.87x = 96,825,800,279.52
  5. Step 5: Solve for x
    x = 96,825,800,279.52/357,426.87
  6. Step 6: Final answer
    x = 270,896.81

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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.