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Finding the Fourth Proportional to 280,847.20, 420,912.40 and 114,447.20

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Solution

The fourth proportional to 280,847.20, 420,912.40 and 114,447.20 is: 171,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.20 : 420,912.40 = 114,447.20 : x
  2. Step 2: Convert to fraction form
    280,847.20/420,912.40 = 114,447.20/x
  3. Step 3: Cross multiply
    280,847.20x = 420,912.40 × 114,447.20
  4. Step 4: Simplify right side
    280,847.20x = 48,172,245,625.28
  5. Step 5: Solve for x
    x = 48,172,245,625.28/280,847.20
  6. Step 6: Final answer
    x = 171,524.75

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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.