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Finding the Fourth Proportional to 413,777.06, 620,664.41 and 110,171.19

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Solution

The fourth proportional to 413,777.06, 620,664.41 and 110,171.19 is: 165,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,777.06 : 620,664.41 = 110,171.19 : x
  2. Step 2: Convert to fraction form
    413,777.06/620,664.41 = 110,171.19/x
  3. Step 3: Cross multiply
    413,777.06x = 620,664.41 × 110,171.19
  4. Step 4: Simplify right side
    413,777.06x = 68,379,336,640.35
  5. Step 5: Solve for x
    x = 68,379,336,640.35/413,777.06
  6. Step 6: Final answer
    x = 165,256.47

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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.