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Finding the Fourth Proportional to 275,736.30, 412,729.65 and 275,736.30

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Solution

The fourth proportional to 275,736.30, 412,729.65 and 275,736.30 is: 412,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,736.30 : 412,729.65 = 275,736.30 : x
  2. Step 2: Convert to fraction form
    275,736.30/412,729.65 = 275,736.30/x
  3. Step 3: Cross multiply
    275,736.30x = 412,729.65 × 275,736.30
  4. Step 4: Simplify right side
    275,736.30x = 113,804,546,591.30
  5. Step 5: Solve for x
    x = 113,804,546,591.30/275,736.30
  6. Step 6: Final answer
    x = 412,729.65

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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.