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Finding the Fourth Proportional to 442,705.44, 610,932.24 and 241,500

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Solution

The fourth proportional to 442,705.44, 610,932.24 and 241,500 is: 333,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,705.44 : 610,932.24 = 241,500 : x
  2. Step 2: Convert to fraction form
    442,705.44/610,932.24 = 241,500/x
  3. Step 3: Cross multiply
    442,705.44x = 610,932.24 × 241,500
  4. Step 4: Simplify right side
    442,705.44x = 147,540,135,960
  5. Step 5: Solve for x
    x = 147,540,135,960/442,705.44
  6. Step 6: Final answer
    x = 333,269.31

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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.