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Finding the Fourth Proportional to 270,664.70, 405,651.45 and 208,024.70

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Solution

The fourth proportional to 270,664.70, 405,651.45 and 208,024.70 is: 311,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,664.70 : 405,651.45 = 208,024.70 : x
  2. Step 2: Convert to fraction form
    270,664.70/405,651.45 = 208,024.70/x
  3. Step 3: Cross multiply
    270,664.70x = 405,651.45 × 208,024.70
  4. Step 4: Simplify right side
    270,664.70x = 84,385,521,190.82
  5. Step 5: Solve for x
    x = 84,385,521,190.82/270,664.70
  6. Step 6: Final answer
    x = 311,771.43

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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.