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Finding the Fourth Proportional to 281,476.56, 422,214.72 and 71,114.44

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Solution

The fourth proportional to 281,476.56, 422,214.72 and 71,114.44 is: 106,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,476.56 : 422,214.72 = 71,114.44 : x
  2. Step 2: Convert to fraction form
    281,476.56/422,214.72 = 71,114.44/x
  3. Step 3: Cross multiply
    281,476.56x = 422,214.72 × 71,114.44
  4. Step 4: Simplify right side
    281,476.56x = 30,025,563,372.56
  5. Step 5: Solve for x
    x = 30,025,563,372.56/281,476.56
  6. Step 6: Final answer
    x = 106,671.63

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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.