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Finding the Fourth Proportional to 280,098.20, 419,491.20 and 190,868.60

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Solution

The fourth proportional to 280,098.20, 419,491.20 and 190,868.60 is: 285,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098.20 : 419,491.20 = 190,868.60 : x
  2. Step 2: Convert to fraction form
    280,098.20/419,491.20 = 190,868.60/x
  3. Step 3: Cross multiply
    280,098.20x = 419,491.20 × 190,868.60
  4. Step 4: Simplify right side
    280,098.20x = 80,067,698,056.32
  5. Step 5: Solve for x
    x = 80,067,698,056.32/280,098.20
  6. Step 6: Final answer
    x = 285,855.81

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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.