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Finding the Fourth Proportional to 305,951.84, 422,243.52 and 176,895.80

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Solution

The fourth proportional to 305,951.84, 422,243.52 and 176,895.80 is: 244,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,951.84 : 422,243.52 = 176,895.80 : x
  2. Step 2: Convert to fraction form
    305,951.84/422,243.52 = 176,895.80/x
  3. Step 3: Cross multiply
    305,951.84x = 422,243.52 × 176,895.80
  4. Step 4: Simplify right side
    305,951.84x = 74,693,105,265.22
  5. Step 5: Solve for x
    x = 74,693,105,265.22/305,951.84
  6. Step 6: Final answer
    x = 244,133.54

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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.