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Finding the Fourth Proportional to 308,086.92, 461,727.77 and 222,984.32

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Solution

The fourth proportional to 308,086.92, 461,727.77 and 222,984.32 is: 334,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,086.92 : 461,727.77 = 222,984.32 : x
  2. Step 2: Convert to fraction form
    308,086.92/461,727.77 = 222,984.32/x
  3. Step 3: Cross multiply
    308,086.92x = 461,727.77 × 222,984.32
  4. Step 4: Simplify right side
    308,086.92x = 102,958,049,395.01
  5. Step 5: Solve for x
    x = 102,958,049,395.01/308,086.92
  6. Step 6: Final answer
    x = 334,185.08

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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.