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Finding the Fourth Proportional to 305,794.44, 422,058.42 and 176,738.40

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Solution

The fourth proportional to 305,794.44, 422,058.42 and 176,738.40 is: 243,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,794.44 : 422,058.42 = 176,738.40 : x
  2. Step 2: Convert to fraction form
    305,794.44/422,058.42 = 176,738.40/x
  3. Step 3: Cross multiply
    305,794.44x = 422,058.42 × 176,738.40
  4. Step 4: Simplify right side
    305,794.44x = 74,593,929,857.33
  5. Step 5: Solve for x
    x = 74,593,929,857.33/305,794.44
  6. Step 6: Final answer
    x = 243,934.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.