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Finding the Fourth Proportional to 355,228.20, 490,209.18 and 194,079.78

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Solution

The fourth proportional to 355,228.20, 490,209.18 and 194,079.78 is: 267,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,228.20 : 490,209.18 = 194,079.78 : x
  2. Step 2: Convert to fraction form
    355,228.20/490,209.18 = 194,079.78/x
  3. Step 3: Cross multiply
    355,228.20x = 490,209.18 × 194,079.78
  4. Step 4: Simplify right side
    355,228.20x = 95,139,689,808.38
  5. Step 5: Solve for x
    x = 95,139,689,808.38/355,228.20
  6. Step 6: Final answer
    x = 267,826.96

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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.