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Finding the Fourth Proportional to 397,620.44, 596,804.33 and 208,216.73

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Solution

The fourth proportional to 397,620.44, 596,804.33 and 208,216.73 is: 312,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,620.44 : 596,804.33 = 208,216.73 : x
  2. Step 2: Convert to fraction form
    397,620.44/596,804.33 = 208,216.73/x
  3. Step 3: Cross multiply
    397,620.44x = 596,804.33 × 208,216.73
  4. Step 4: Simplify right side
    397,620.44x = 124,264,646,042.44
  5. Step 5: Solve for x
    x = 124,264,646,042.44/397,620.44
  6. Step 6: Final answer
    x = 312,520.77

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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.