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Finding the Fourth Proportional to 309,008.57, 463,685.09 and 166,850.84

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Solution

The fourth proportional to 309,008.57, 463,685.09 and 166,850.84 is: 250,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,008.57 : 463,685.09 = 166,850.84 : x
  2. Step 2: Convert to fraction form
    309,008.57/463,685.09 = 166,850.84/x
  3. Step 3: Cross multiply
    309,008.57x = 463,685.09 × 166,850.84
  4. Step 4: Simplify right side
    309,008.57x = 77,366,247,086.93
  5. Step 5: Solve for x
    x = 77,366,247,086.93/309,008.57
  6. Step 6: Final answer
    x = 250,369.26

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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.