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Finding the Fourth Proportional to 413,732.44, 620,586.26 and 114,231.32

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Solution

The fourth proportional to 413,732.44, 620,586.26 and 114,231.32 is: 171,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.44 : 620,586.26 = 114,231.32 : x
  2. Step 2: Convert to fraction form
    413,732.44/620,586.26 = 114,231.32/x
  3. Step 3: Cross multiply
    413,732.44x = 620,586.26 × 114,231.32
  4. Step 4: Simplify right side
    413,732.44x = 70,890,387,653.66
  5. Step 5: Solve for x
    x = 70,890,387,653.66/413,732.44
  6. Step 6: Final answer
    x = 171,343.56

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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.