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Finding the Fourth Proportional to 284,452.10, 426,694.52 and 106,960.64

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Solution

The fourth proportional to 284,452.10, 426,694.52 and 106,960.64 is: 160,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,452.10 : 426,694.52 = 106,960.64 : x
  2. Step 2: Convert to fraction form
    284,452.10/426,694.52 = 106,960.64/x
  3. Step 3: Cross multiply
    284,452.10x = 426,694.52 × 106,960.64
  4. Step 4: Simplify right side
    284,452.10x = 45,639,520,277.83
  5. Step 5: Solve for x
    x = 45,639,520,277.83/284,452.10
  6. Step 6: Final answer
    x = 160,447.12

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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.