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Finding the Fourth Proportional to 289,033.42, 398,873.20 and 161,717.26

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Solution

The fourth proportional to 289,033.42, 398,873.20 and 161,717.26 is: 223,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,033.42 : 398,873.20 = 161,717.26 : x
  2. Step 2: Convert to fraction form
    289,033.42/398,873.20 = 161,717.26/x
  3. Step 3: Cross multiply
    289,033.42x = 398,873.20 × 161,717.26
  4. Step 4: Simplify right side
    289,033.42x = 64,504,680,991.43
  5. Step 5: Solve for x
    x = 64,504,680,991.43/289,033.42
  6. Step 6: Final answer
    x = 223,173.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.