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Finding the Fourth Proportional to 422,169.90, 633,210.57 and 222,409.86

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Solution

The fourth proportional to 422,169.90, 633,210.57 and 222,409.86 is: 333,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,169.90 : 633,210.57 = 222,409.86 : x
  2. Step 2: Convert to fraction form
    422,169.90/633,210.57 = 222,409.86/x
  3. Step 3: Cross multiply
    422,169.90x = 633,210.57 × 222,409.86
  4. Step 4: Simplify right side
    422,169.90x = 140,832,274,224.22
  5. Step 5: Solve for x
    x = 140,832,274,224.22/422,169.90
  6. Step 6: Final answer
    x = 333,591.46

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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.