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Finding the Fourth Proportional to 441,414, 609,109.20 and 247,777.38

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Solution

The fourth proportional to 441,414, 609,109.20 and 247,777.38 is: 341,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,414 : 609,109.20 = 247,777.38 : x
  2. Step 2: Convert to fraction form
    441,414/609,109.20 = 247,777.38/x
  3. Step 3: Cross multiply
    441,414x = 609,109.20 × 247,777.38
  4. Step 4: Simplify right side
    441,414x = 150,923,481,709.90
  5. Step 5: Solve for x
    x = 150,923,481,709.90/441,414
  6. Step 6: Final answer
    x = 341,909.14

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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.