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Finding the Fourth Proportional to 413,819.82, 620,717.46 and 114,318.42

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Solution

The fourth proportional to 413,819.82, 620,717.46 and 114,318.42 is: 171,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,819.82 : 620,717.46 = 114,318.42 : x
  2. Step 2: Convert to fraction form
    413,819.82/620,717.46 = 114,318.42/x
  3. Step 3: Cross multiply
    413,819.82x = 620,717.46 × 114,318.42
  4. Step 4: Simplify right side
    413,819.82x = 70,959,439,293.61
  5. Step 5: Solve for x
    x = 70,959,439,293.61/413,819.82
  6. Step 6: Final answer
    x = 171,474.24

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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.