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Finding the Fourth Proportional to 448,413.44, 619,064 and 297,716.48

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Solution

The fourth proportional to 448,413.44, 619,064 and 297,716.48 is: 411,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,413.44 : 619,064 = 297,716.48 : x
  2. Step 2: Convert to fraction form
    448,413.44/619,064 = 297,716.48/x
  3. Step 3: Cross multiply
    448,413.44x = 619,064 × 297,716.48
  4. Step 4: Simplify right side
    448,413.44x = 184,305,554,974.72
  5. Step 5: Solve for x
    x = 184,305,554,974.72/448,413.44
  6. Step 6: Final answer
    x = 411,017.02

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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.