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Finding the Fourth Proportional to 441,381, 609,105.78 and 240,178.44

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Solution

The fourth proportional to 441,381, 609,105.78 and 240,178.44 is: 331,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,381 : 609,105.78 = 240,178.44 : x
  2. Step 2: Convert to fraction form
    441,381/609,105.78 = 240,178.44/x
  3. Step 3: Cross multiply
    441,381x = 609,105.78 × 240,178.44
  4. Step 4: Simplify right side
    441,381x = 146,294,076,035.38
  5. Step 5: Solve for x
    x = 146,294,076,035.38/441,381
  6. Step 6: Final answer
    x = 331,446.25

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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.