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Finding the Fourth Proportional to 422,111.16, 633,121.76 and 222,350.56

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Solution

The fourth proportional to 422,111.16, 633,121.76 and 222,350.56 is: 333,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,111.16 : 633,121.76 = 222,350.56 : x
  2. Step 2: Convert to fraction form
    422,111.16/633,121.76 = 222,350.56/x
  3. Step 3: Cross multiply
    422,111.16x = 633,121.76 × 222,350.56
  4. Step 4: Simplify right side
    422,111.16x = 140,774,977,884.19
  5. Step 5: Solve for x
    x = 140,774,977,884.19/422,111.16
  6. Step 6: Final answer
    x = 333,502.15

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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.