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Finding the Fourth Proportional to 357,229.28, 492,949.32 and 196,058.72

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Solution

The fourth proportional to 357,229.28, 492,949.32 and 196,058.72 is: 270,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,229.28 : 492,949.32 = 196,058.72 : x
  2. Step 2: Convert to fraction form
    357,229.28/492,949.32 = 196,058.72/x
  3. Step 3: Cross multiply
    357,229.28x = 492,949.32 × 196,058.72
  4. Step 4: Simplify right side
    357,229.28x = 96,647,012,704.07
  5. Step 5: Solve for x
    x = 96,647,012,704.07/357,229.28
  6. Step 6: Final answer
    x = 270,546.17

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Why These Related Problems?

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