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Finding the Fourth Proportional to 569,238.49, 853,731.97 and 164,342.73

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Solution

The fourth proportional to 569,238.49, 853,731.97 and 164,342.73 is: 246,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,238.49 : 853,731.97 = 164,342.73 : x
  2. Step 2: Convert to fraction form
    569,238.49/853,731.97 = 164,342.73/x
  3. Step 3: Cross multiply
    569,238.49x = 853,731.97 × 164,342.73
  4. Step 4: Simplify right side
    569,238.49x = 140,304,642,638.08
  5. Step 5: Solve for x
    x = 140,304,642,638.08/569,238.49
  6. Step 6: Final answer
    x = 246,477.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.