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Finding the Fourth Proportional to 413,857.44, 620,654.93 and 177,136.56

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Solution

The fourth proportional to 413,857.44, 620,654.93 and 177,136.56 is: 265,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,857.44 : 620,654.93 = 177,136.56 : x
  2. Step 2: Convert to fraction form
    413,857.44/620,654.93 = 177,136.56/x
  3. Step 3: Cross multiply
    413,857.44x = 620,654.93 × 177,136.56
  4. Step 4: Simplify right side
    413,857.44x = 109,940,678,361.56
  5. Step 5: Solve for x
    x = 109,940,678,361.56/413,857.44
  6. Step 6: Final answer
    x = 265,648.67

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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.