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Finding the Fourth Proportional to 358,207.34, 494,046.28 and 222,165

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Solution

The fourth proportional to 358,207.34, 494,046.28 and 222,165 is: 306,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,207.34 : 494,046.28 = 222,165 : x
  2. Step 2: Convert to fraction form
    358,207.34/494,046.28 = 222,165/x
  3. Step 3: Cross multiply
    358,207.34x = 494,046.28 × 222,165
  4. Step 4: Simplify right side
    358,207.34x = 109,759,791,796.20
  5. Step 5: Solve for x
    x = 109,759,791,796.20/358,207.34
  6. Step 6: Final answer
    x = 306,414.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.