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Finding the Fourth Proportional to 280,103.20, 419,498.70 and 190,873.60

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Solution

The fourth proportional to 280,103.20, 419,498.70 and 190,873.60 is: 285,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103.20 : 419,498.70 = 190,873.60 : x
  2. Step 2: Convert to fraction form
    280,103.20/419,498.70 = 190,873.60/x
  3. Step 3: Cross multiply
    280,103.20x = 419,498.70 × 190,873.60
  4. Step 4: Simplify right side
    280,103.20x = 80,071,227,064.32
  5. Step 5: Solve for x
    x = 80,071,227,064.32/280,103.20
  6. Step 6: Final answer
    x = 285,863.31

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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.