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Finding the Fourth Proportional to 304,198.85, 455,976.50 and 114,577.17

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Solution

The fourth proportional to 304,198.85, 455,976.50 and 114,577.17 is: 171,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,198.85 : 455,976.50 = 114,577.17 : x
  2. Step 2: Convert to fraction form
    304,198.85/455,976.50 = 114,577.17/x
  3. Step 3: Cross multiply
    304,198.85x = 455,976.50 × 114,577.17
  4. Step 4: Simplify right side
    304,198.85x = 52,244,497,560.82
  5. Step 5: Solve for x
    x = 52,244,497,560.82/304,198.85
  6. Step 6: Final answer
    x = 171,744.56

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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.