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Finding the Fourth Proportional to 496,062.48, 684,589.62 and 281,206.72

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Solution

The fourth proportional to 496,062.48, 684,589.62 and 281,206.72 is: 388,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,062.48 : 684,589.62 = 281,206.72 : x
  2. Step 2: Convert to fraction form
    496,062.48/684,589.62 = 281,206.72/x
  3. Step 3: Cross multiply
    496,062.48x = 684,589.62 × 281,206.72
  4. Step 4: Simplify right side
    496,062.48x = 192,511,201,586.25
  5. Step 5: Solve for x
    x = 192,511,201,586.25/496,062.48
  6. Step 6: Final answer
    x = 388,078.54

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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.