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Finding the Fourth Proportional to 454,957.72, 682,144.62 and 188,901.88

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Solution

The fourth proportional to 454,957.72, 682,144.62 and 188,901.88 is: 283,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,957.72 : 682,144.62 = 188,901.88 : x
  2. Step 2: Convert to fraction form
    454,957.72/682,144.62 = 188,901.88/x
  3. Step 3: Cross multiply
    454,957.72x = 682,144.62 × 188,901.88
  4. Step 4: Simplify right side
    454,957.72x = 128,858,401,149.89
  5. Step 5: Solve for x
    x = 128,858,401,149.89/454,957.72
  6. Step 6: Final answer
    x = 283,231.60

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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.