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Finding the Fourth Proportional to 493,950.75, 741,262.67 and 227,713.47

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Solution

The fourth proportional to 493,950.75, 741,262.67 and 227,713.47 is: 341,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,950.75 : 741,262.67 = 227,713.47 : x
  2. Step 2: Convert to fraction form
    493,950.75/741,262.67 = 227,713.47/x
  3. Step 3: Cross multiply
    493,950.75x = 741,262.67 × 227,713.47
  4. Step 4: Simplify right side
    493,950.75x = 168,795,494,767.17
  5. Step 5: Solve for x
    x = 168,795,494,767.17/493,950.75
  6. Step 6: Final answer
    x = 341,725.35

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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.