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Finding the Fourth Proportional to 454,956.72, 682,143.12 and 188,900.88

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Solution

The fourth proportional to 454,956.72, 682,143.12 and 188,900.88 is: 283,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,956.72 : 682,143.12 = 188,900.88 : x
  2. Step 2: Convert to fraction form
    454,956.72/682,143.12 = 188,900.88/x
  3. Step 3: Cross multiply
    454,956.72x = 682,143.12 × 188,900.88
  4. Step 4: Simplify right side
    454,956.72x = 128,857,435,653.95
  5. Step 5: Solve for x
    x = 128,857,435,653.95/454,956.72
  6. Step 6: Final answer
    x = 283,230.10

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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.