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Finding the Fourth Proportional to 422,081.38, 633,044.70 and 114,339.32

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Solution

The fourth proportional to 422,081.38, 633,044.70 and 114,339.32 is: 171,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,081.38 : 633,044.70 = 114,339.32 : x
  2. Step 2: Convert to fraction form
    422,081.38/633,044.70 = 114,339.32/x
  3. Step 3: Cross multiply
    422,081.38x = 633,044.70 × 114,339.32
  4. Step 4: Simplify right side
    422,081.38x = 72,381,900,527.60
  5. Step 5: Solve for x
    x = 72,381,900,527.60/422,081.38
  6. Step 6: Final answer
    x = 171,488.02

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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.