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Finding the Fourth Proportional to 275,722.30, 412,708.65 and 275,722.30

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Solution

The fourth proportional to 275,722.30, 412,708.65 and 275,722.30 is: 412,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.30 : 412,708.65 = 275,722.30 : x
  2. Step 2: Convert to fraction form
    275,722.30/412,708.65 = 275,722.30/x
  3. Step 3: Cross multiply
    275,722.30x = 412,708.65 × 275,722.30
  4. Step 4: Simplify right side
    275,722.30x = 113,792,978,207.90
  5. Step 5: Solve for x
    x = 113,792,978,207.90/275,722.30
  6. Step 6: Final answer
    x = 412,708.65

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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.