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Finding the Fourth Proportional to 464,972.73, 641,662.05 and 261,024.03

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Solution

The fourth proportional to 464,972.73, 641,662.05 and 261,024.03 is: 360,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,972.73 : 641,662.05 = 261,024.03 : x
  2. Step 2: Convert to fraction form
    464,972.73/641,662.05 = 261,024.03/x
  3. Step 3: Cross multiply
    464,972.73x = 641,662.05 × 261,024.03
  4. Step 4: Simplify right side
    464,972.73x = 167,489,214,189.06
  5. Step 5: Solve for x
    x = 167,489,214,189.06/464,972.73
  6. Step 6: Final answer
    x = 360,212.98

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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.