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Finding the Fourth Proportional to 511,073.09, 705,271.17 and 281,651.57

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Solution

The fourth proportional to 511,073.09, 705,271.17 and 281,651.57 is: 388,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,073.09 : 705,271.17 = 281,651.57 : x
  2. Step 2: Convert to fraction form
    511,073.09/705,271.17 = 281,651.57/x
  3. Step 3: Cross multiply
    511,073.09x = 705,271.17 × 281,651.57
  4. Step 4: Simplify right side
    511,073.09x = 198,640,734,863.70
  5. Step 5: Solve for x
    x = 198,640,734,863.70/511,073.09
  6. Step 6: Final answer
    x = 388,673.83

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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.