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Finding the Fourth Proportional to 422,614.94, 633,996.25 and 185,951.50

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Solution

The fourth proportional to 422,614.94, 633,996.25 and 185,951.50 is: 278,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,614.94 : 633,996.25 = 185,951.50 : x
  2. Step 2: Convert to fraction form
    422,614.94/633,996.25 = 185,951.50/x
  3. Step 3: Cross multiply
    422,614.94x = 633,996.25 × 185,951.50
  4. Step 4: Simplify right side
    422,614.94x = 117,892,551,632.01
  5. Step 5: Solve for x
    x = 117,892,551,632.01/422,614.94
  6. Step 6: Final answer
    x = 278,959.74

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