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Finding the Fourth Proportional to 305,905.36, 422,149.85 and 169,935.61

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Solution

The fourth proportional to 305,905.36, 422,149.85 and 169,935.61 is: 234,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.36 : 422,149.85 = 169,935.61 : x
  2. Step 2: Convert to fraction form
    305,905.36/422,149.85 = 169,935.61/x
  3. Step 3: Cross multiply
    305,905.36x = 422,149.85 × 169,935.61
  4. Step 4: Simplify right side
    305,905.36x = 71,738,292,271.16
  5. Step 5: Solve for x
    x = 71,738,292,271.16/305,905.36
  6. Step 6: Final answer
    x = 234,511.39

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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.