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Finding the Fourth Proportional to 419,957.60, 629,537.30 and 267,727.34

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Solution

The fourth proportional to 419,957.60, 629,537.30 and 267,727.34 is: 401,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957.60 : 629,537.30 = 267,727.34 : x
  2. Step 2: Convert to fraction form
    419,957.60/629,537.30 = 267,727.34/x
  3. Step 3: Cross multiply
    419,957.60x = 629,537.30 × 267,727.34
  4. Step 4: Simplify right side
    419,957.60x = 168,544,345,421.15
  5. Step 5: Solve for x
    x = 168,544,345,421.15/419,957.60
  6. Step 6: Final answer
    x = 401,336.58

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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.