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Finding the Fourth Proportional to 416,648.33, 574,974.72 and 225,661.74

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Solution

The fourth proportional to 416,648.33, 574,974.72 and 225,661.74 is: 311,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,648.33 : 574,974.72 = 225,661.74 : x
  2. Step 2: Convert to fraction form
    416,648.33/574,974.72 = 225,661.74/x
  3. Step 3: Cross multiply
    416,648.33x = 574,974.72 × 225,661.74
  4. Step 4: Simplify right side
    416,648.33x = 129,749,795,771.21
  5. Step 5: Solve for x
    x = 129,749,795,771.21/416,648.33
  6. Step 6: Final answer
    x = 311,413.21

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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.