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Finding the Fourth Proportional to 422,242.44, 633,405.16 and 122,725.52

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Solution

The fourth proportional to 422,242.44, 633,405.16 and 122,725.52 is: 184,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,242.44 : 633,405.16 = 122,725.52 : x
  2. Step 2: Convert to fraction form
    422,242.44/633,405.16 = 122,725.52/x
  3. Step 3: Cross multiply
    422,242.44x = 633,405.16 × 122,725.52
  4. Step 4: Simplify right side
    422,242.44x = 77,734,977,631.68
  5. Step 5: Solve for x
    x = 77,734,977,631.68/422,242.44
  6. Step 6: Final answer
    x = 184,100.34

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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.