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Finding the Fourth Proportional to 280,608.80, 420,910.32 and 162,204.80

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Solution

The fourth proportional to 280,608.80, 420,910.32 and 162,204.80 is: 243,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608.80 : 420,910.32 = 162,204.80 : x
  2. Step 2: Convert to fraction form
    280,608.80/420,910.32 = 162,204.80/x
  3. Step 3: Cross multiply
    280,608.80x = 420,910.32 × 162,204.80
  4. Step 4: Simplify right side
    280,608.80x = 68,273,674,273.54
  5. Step 5: Solve for x
    x = 68,273,674,273.54/280,608.80
  6. Step 6: Final answer
    x = 243,305.54

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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.