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Finding the Fourth Proportional to 355,230.38, 490,212.14 and 194,081.96

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Solution

The fourth proportional to 355,230.38, 490,212.14 and 194,081.96 is: 267,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,230.38 : 490,212.14 = 194,081.96 : x
  2. Step 2: Convert to fraction form
    355,230.38/490,212.14 = 194,081.96/x
  3. Step 3: Cross multiply
    355,230.38x = 490,212.14 × 194,081.96
  4. Step 4: Simplify right side
    355,230.38x = 95,141,333,202.11
  5. Step 5: Solve for x
    x = 95,141,333,202.11/355,230.38
  6. Step 6: Final answer
    x = 267,829.94

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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.