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Finding the Fourth Proportional to 422,046.27, 633,069.41 and 141,562.71

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Solution

The fourth proportional to 422,046.27, 633,069.41 and 141,562.71 is: 212,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,046.27 : 633,069.41 = 141,562.71 : x
  2. Step 2: Convert to fraction form
    422,046.27/633,069.41 = 141,562.71/x
  3. Step 3: Cross multiply
    422,046.27x = 633,069.41 × 141,562.71
  4. Step 4: Simplify right side
    422,046.27x = 89,619,020,589.89
  5. Step 5: Solve for x
    x = 89,619,020,589.89/422,046.27
  6. Step 6: Final answer
    x = 212,344.07

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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.