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Finding the Fourth Proportional to 305,830.50, 422,046.09 and 171,694.50

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Solution

The fourth proportional to 305,830.50, 422,046.09 and 171,694.50 is: 236,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.50 : 422,046.09 = 171,694.50 : x
  2. Step 2: Convert to fraction form
    305,830.50/422,046.09 = 171,694.50/x
  3. Step 3: Cross multiply
    305,830.50x = 422,046.09 × 171,694.50
  4. Step 4: Simplify right side
    305,830.50x = 72,462,992,399.51
  5. Step 5: Solve for x
    x = 72,462,992,399.51/305,830.50
  6. Step 6: Final answer
    x = 236,938.41

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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.