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Finding the Fourth Proportional to 416,879.86, 575,296.21 and 225,893.61

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Solution

The fourth proportional to 416,879.86, 575,296.21 and 225,893.61 is: 311,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,879.86 : 575,296.21 = 225,893.61 : x
  2. Step 2: Convert to fraction form
    416,879.86/575,296.21 = 225,893.61/x
  3. Step 3: Cross multiply
    416,879.86x = 575,296.21 × 225,893.61
  4. Step 4: Simplify right side
    416,879.86x = 129,955,737,696.22
  5. Step 5: Solve for x
    x = 129,955,737,696.22/416,879.86
  6. Step 6: Final answer
    x = 311,734.27

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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.