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Finding the Fourth Proportional to 547,654.34, 755,736 and 305,888.78

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Solution

The fourth proportional to 547,654.34, 755,736 and 305,888.78 is: 422,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,654.34 : 755,736 = 305,888.78 : x
  2. Step 2: Convert to fraction form
    547,654.34/755,736 = 305,888.78/x
  3. Step 3: Cross multiply
    547,654.34x = 755,736 × 305,888.78
  4. Step 4: Simplify right side
    547,654.34x = 231,171,163,042.08
  5. Step 5: Solve for x
    x = 231,171,163,042.08/547,654.34
  6. Step 6: Final answer
    x = 422,111.44

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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.