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Finding the Fourth Proportional to 547,732.42, 755,856.79 and 306,016.80

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Solution

The fourth proportional to 547,732.42, 755,856.79 and 306,016.80 is: 422,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,732.42 : 755,856.79 = 306,016.80 : x
  2. Step 2: Convert to fraction form
    547,732.42/755,856.79 = 306,016.80/x
  3. Step 3: Cross multiply
    547,732.42x = 755,856.79 × 306,016.80
  4. Step 4: Simplify right side
    547,732.42x = 231,304,875,369.03
  5. Step 5: Solve for x
    x = 231,304,875,369.03/547,732.42
  6. Step 6: Final answer
    x = 422,295.39

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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.