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Finding the Fourth Proportional to 511,376.83, 705,704.75 and 281,942.22

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Solution

The fourth proportional to 511,376.83, 705,704.75 and 281,942.22 is: 389,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,376.83 : 705,704.75 = 281,942.22 : x
  2. Step 2: Convert to fraction form
    511,376.83/705,704.75 = 281,942.22/x
  3. Step 3: Cross multiply
    511,376.83x = 705,704.75 × 281,942.22
  4. Step 4: Simplify right side
    511,376.83x = 198,967,963,879.55
  5. Step 5: Solve for x
    x = 198,967,963,879.55/511,376.83
  6. Step 6: Final answer
    x = 389,082.87

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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.