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Finding the Fourth Proportional to 322,794, 484,268.76 and 101,178

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Solution

The fourth proportional to 322,794, 484,268.76 and 101,178 is: 151,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,794 : 484,268.76 = 101,178 : x
  2. Step 2: Convert to fraction form
    322,794/484,268.76 = 101,178/x
  3. Step 3: Cross multiply
    322,794x = 484,268.76 × 101,178
  4. Step 4: Simplify right side
    322,794x = 48,997,344,599.28
  5. Step 5: Solve for x
    x = 48,997,344,599.28/322,794
  6. Step 6: Final answer
    x = 151,791.37

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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.