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Finding the Fourth Proportional to 289,847.20, 434,233.20 and 164,816.80

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Solution

The fourth proportional to 289,847.20, 434,233.20 and 164,816.80 is: 246,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,847.20 : 434,233.20 = 164,816.80 : x
  2. Step 2: Convert to fraction form
    289,847.20/434,233.20 = 164,816.80/x
  3. Step 3: Cross multiply
    289,847.20x = 434,233.20 × 164,816.80
  4. Step 4: Simplify right side
    289,847.20x = 71,568,926,477.76
  5. Step 5: Solve for x
    x = 71,568,926,477.76/289,847.20
  6. Step 6: Final answer
    x = 246,919.50

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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.