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Finding the Fourth Proportional to 256,413.40, 353,648.73 and 239,224.75

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Solution

The fourth proportional to 256,413.40, 353,648.73 and 239,224.75 is: 329,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,413.40 : 353,648.73 = 239,224.75 : x
  2. Step 2: Convert to fraction form
    256,413.40/353,648.73 = 239,224.75/x
  3. Step 3: Cross multiply
    256,413.40x = 353,648.73 × 239,224.75
  4. Step 4: Simplify right side
    256,413.40x = 84,601,529,022.07
  5. Step 5: Solve for x
    x = 84,601,529,022.07/256,413.40
  6. Step 6: Final answer
    x = 329,941.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.