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Finding the Fourth Proportional to 355,222.94, 490,201.93 and 194,074.52

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Solution

The fourth proportional to 355,222.94, 490,201.93 and 194,074.52 is: 267,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,222.94 : 490,201.93 = 194,074.52 : x
  2. Step 2: Convert to fraction form
    355,222.94/490,201.93 = 194,074.52/x
  3. Step 3: Cross multiply
    355,222.94x = 490,201.93 × 194,074.52
  4. Step 4: Simplify right side
    355,222.94x = 95,135,705,008.14
  5. Step 5: Solve for x
    x = 95,135,705,008.14/355,222.94
  6. Step 6: Final answer
    x = 267,819.71

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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.