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Finding the Fourth Proportional to 284,453.31, 426,742.28 and 106,960.32

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Solution

The fourth proportional to 284,453.31, 426,742.28 and 106,960.32 is: 160,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,453.31 : 426,742.28 = 106,960.32 : x
  2. Step 2: Convert to fraction form
    284,453.31/426,742.28 = 106,960.32/x
  3. Step 3: Cross multiply
    284,453.31x = 426,742.28 × 106,960.32
  4. Step 4: Simplify right side
    284,453.31x = 45,644,488,691.24
  5. Step 5: Solve for x
    x = 45,644,488,691.24/284,453.31
  6. Step 6: Final answer
    x = 160,463.91

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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.