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Finding the Fourth Proportional to 422,099, 633,304.02 and 222,411.32

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Solution

The fourth proportional to 422,099, 633,304.02 and 222,411.32 is: 333,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,099 : 633,304.02 = 222,411.32 : x
  2. Step 2: Convert to fraction form
    422,099/633,304.02 = 222,411.32/x
  3. Step 3: Cross multiply
    422,099x = 633,304.02 × 222,411.32
  4. Step 4: Simplify right side
    422,099x = 140,853,983,049.51
  5. Step 5: Solve for x
    x = 140,853,983,049.51/422,099
  6. Step 6: Final answer
    x = 333,698.93

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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.