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Finding the Fourth Proportional to 284,453.44, 426,742.48 and 106,960.45

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Solution

The fourth proportional to 284,453.44, 426,742.48 and 106,960.45 is: 160,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,453.44 : 426,742.48 = 106,960.45 : x
  2. Step 2: Convert to fraction form
    284,453.44/426,742.48 = 106,960.45/x
  3. Step 3: Cross multiply
    284,453.44x = 426,742.48 × 106,960.45
  4. Step 4: Simplify right side
    284,453.44x = 45,644,567,694.92
  5. Step 5: Solve for x
    x = 45,644,567,694.92/284,453.44
  6. Step 6: Final answer
    x = 160,464.11

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1.5x scale

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.