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Finding the Fourth Proportional to 358,107.36, 494,022.50 and 214,618.30

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Solution

The fourth proportional to 358,107.36, 494,022.50 and 214,618.30 is: 296,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,107.36 : 494,022.50 = 214,618.30 : x
  2. Step 2: Convert to fraction form
    358,107.36/494,022.50 = 214,618.30/x
  3. Step 3: Cross multiply
    358,107.36x = 494,022.50 × 214,618.30
  4. Step 4: Simplify right side
    358,107.36x = 106,026,269,111.75
  5. Step 5: Solve for x
    x = 106,026,269,111.75/358,107.36
  6. Step 6: Final answer
    x = 296,073.97

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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.