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Finding the Fourth Proportional to 416,879.25, 575,295.36 and 225,892.98

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Solution

The fourth proportional to 416,879.25, 575,295.36 and 225,892.98 is: 311,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,879.25 : 575,295.36 = 225,892.98 : x
  2. Step 2: Convert to fraction form
    416,879.25/575,295.36 = 225,892.98/x
  3. Step 3: Cross multiply
    416,879.25x = 575,295.36 × 225,892.98
  4. Step 4: Simplify right side
    416,879.25x = 129,955,183,250.57
  5. Step 5: Solve for x
    x = 129,955,183,250.57/416,879.25
  6. Step 6: Final answer
    x = 311,733.39

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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.