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Finding the Fourth Proportional to 304,007.64, 419,523.22 and 166,180.44

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Solution

The fourth proportional to 304,007.64, 419,523.22 and 166,180.44 is: 229,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,007.64 : 419,523.22 = 166,180.44 : x
  2. Step 2: Convert to fraction form
    304,007.64/419,523.22 = 166,180.44/x
  3. Step 3: Cross multiply
    304,007.64x = 419,523.22 × 166,180.44
  4. Step 4: Simplify right side
    304,007.64x = 69,716,553,289.82
  5. Step 5: Solve for x
    x = 69,716,553,289.82/304,007.64
  6. Step 6: Final answer
    x = 229,325.00

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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.