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Finding the Fourth Proportional to 357,865.76, 493,855.77 and 204,906.27

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Solution

The fourth proportional to 357,865.76, 493,855.77 and 204,906.27 is: 282,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,865.76 : 493,855.77 = 204,906.27 : x
  2. Step 2: Convert to fraction form
    357,865.76/493,855.77 = 204,906.27/x
  3. Step 3: Cross multiply
    357,865.76x = 493,855.77 × 204,906.27
  4. Step 4: Simplify right side
    357,865.76x = 101,194,143,748.68
  5. Step 5: Solve for x
    x = 101,194,143,748.68/357,865.76
  6. Step 6: Final answer
    x = 282,771.24

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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.