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Finding the Fourth Proportional to 475,763.82, 713,674.56 and 191,453.27

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Solution

The fourth proportional to 475,763.82, 713,674.56 and 191,453.27 is: 287,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,763.82 : 713,674.56 = 191,453.27 : x
  2. Step 2: Convert to fraction form
    475,763.82/713,674.56 = 191,453.27/x
  3. Step 3: Cross multiply
    475,763.82x = 713,674.56 × 191,453.27
  4. Step 4: Simplify right side
    475,763.82x = 136,635,324,659.44
  5. Step 5: Solve for x
    x = 136,635,324,659.44/475,763.82
  6. Step 6: Final answer
    x = 287,191.50

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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.