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Finding the Fourth Proportional to 422,464.54, 633,725.97 and 122,947.60

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Solution

The fourth proportional to 422,464.54, 633,725.97 and 122,947.60 is: 184,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,464.54 : 633,725.97 = 122,947.60 : x
  2. Step 2: Convert to fraction form
    422,464.54/633,725.97 = 122,947.60/x
  3. Step 3: Cross multiply
    422,464.54x = 633,725.97 × 122,947.60
  4. Step 4: Simplify right side
    422,464.54x = 77,915,087,069.17
  5. Step 5: Solve for x
    x = 77,915,087,069.17/422,464.54
  6. Step 6: Final answer
    x = 184,429.89

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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.