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Finding the Fourth Proportional to 380,464.66, 570,740.73 and 222,694.48

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Solution

The fourth proportional to 380,464.66, 570,740.73 and 222,694.48 is: 334,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,464.66 : 570,740.73 = 222,694.48 : x
  2. Step 2: Convert to fraction form
    380,464.66/570,740.73 = 222,694.48/x
  3. Step 3: Cross multiply
    380,464.66x = 570,740.73 × 222,694.48
  4. Step 4: Simplify right side
    380,464.66x = 127,100,810,082.17
  5. Step 5: Solve for x
    x = 127,100,810,082.17/380,464.66
  6. Step 6: Final answer
    x = 334,067.32

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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.