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Finding the Fourth Proportional to 274,307.44, 410,796.72 and 189,830.88

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Solution

The fourth proportional to 274,307.44, 410,796.72 and 189,830.88 is: 284,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,307.44 : 410,796.72 = 189,830.88 : x
  2. Step 2: Convert to fraction form
    274,307.44/410,796.72 = 189,830.88/x
  3. Step 3: Cross multiply
    274,307.44x = 410,796.72 × 189,830.88
  4. Step 4: Simplify right side
    274,307.44x = 77,981,902,858.71
  5. Step 5: Solve for x
    x = 77,981,902,858.71/274,307.44
  6. Step 6: Final answer
    x = 284,286.50

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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.