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Finding the Fourth Proportional to 397,745.25, 596,379.93 and 269,818.77

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Solution

The fourth proportional to 397,745.25, 596,379.93 and 269,818.77 is: 404,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,745.25 : 596,379.93 = 269,818.77 : x
  2. Step 2: Convert to fraction form
    397,745.25/596,379.93 = 269,818.77/x
  3. Step 3: Cross multiply
    397,745.25x = 596,379.93 × 269,818.77
  4. Step 4: Simplify right side
    397,745.25x = 160,914,499,165.29
  5. Step 5: Solve for x
    x = 160,914,499,165.29/397,745.25
  6. Step 6: Final answer
    x = 404,566.74

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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.