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Finding the Fourth Proportional to 419,957.66, 629,936.96 and 104,414.60

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Solution

The fourth proportional to 419,957.66, 629,936.96 and 104,414.60 is: 156,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957.66 : 629,936.96 = 104,414.60 : x
  2. Step 2: Convert to fraction form
    419,957.66/629,936.96 = 104,414.60/x
  3. Step 3: Cross multiply
    419,957.66x = 629,936.96 × 104,414.60
  4. Step 4: Simplify right side
    419,957.66x = 65,774,612,031.86
  5. Step 5: Solve for x
    x = 65,774,612,031.86/419,957.66
  6. Step 6: Final answer
    x = 156,622.01

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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.