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Finding the Fourth Proportional to 491,491, 737,353.50 and 159,067

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Solution

The fourth proportional to 491,491, 737,353.50 and 159,067 is: 238,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,491 : 737,353.50 = 159,067 : x
  2. Step 2: Convert to fraction form
    491,491/737,353.50 = 159,067/x
  3. Step 3: Cross multiply
    491,491x = 737,353.50 × 159,067
  4. Step 4: Simplify right side
    491,491x = 117,288,609,184.50
  5. Step 5: Solve for x
    x = 117,288,609,184.50/491,491
  6. Step 6: Final answer
    x = 238,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.