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Finding the Fourth Proportional to 305,022.38, 420,930.07 and 169,056.59

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Solution

The fourth proportional to 305,022.38, 420,930.07 and 169,056.59 is: 233,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,022.38 : 420,930.07 = 169,056.59 : x
  2. Step 2: Convert to fraction form
    305,022.38/420,930.07 = 169,056.59/x
  3. Step 3: Cross multiply
    305,022.38x = 420,930.07 × 169,056.59
  4. Step 4: Simplify right side
    305,022.38x = 71,160,999,735.37
  5. Step 5: Solve for x
    x = 71,160,999,735.37/305,022.38
  6. Step 6: Final answer
    x = 233,297.64

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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.