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Finding the Fourth Proportional to 500,227.44, 749,690.28 and 381,462

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Solution

The fourth proportional to 500,227.44, 749,690.28 and 381,462 is: 571,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,227.44 : 749,690.28 = 381,462 : x
  2. Step 2: Convert to fraction form
    500,227.44/749,690.28 = 381,462/x
  3. Step 3: Cross multiply
    500,227.44x = 749,690.28 × 381,462
  4. Step 4: Simplify right side
    500,227.44x = 285,978,353,589.36
  5. Step 5: Solve for x
    x = 285,978,353,589.36/500,227.44
  6. Step 6: Final answer
    x = 571,696.65

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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.