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Finding the Fourth Proportional to 422,570.96, 633,627.48 and 185,636.24

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Solution

The fourth proportional to 422,570.96, 633,627.48 and 185,636.24 is: 278,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,570.96 : 633,627.48 = 185,636.24 : x
  2. Step 2: Convert to fraction form
    422,570.96/633,627.48 = 185,636.24/x
  3. Step 3: Cross multiply
    422,570.96x = 633,627.48 × 185,636.24
  4. Step 4: Simplify right side
    422,570.96x = 117,624,222,947.88
  5. Step 5: Solve for x
    x = 117,624,222,947.88/422,570.96
  6. Step 6: Final answer
    x = 278,353.78

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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.