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Finding the Fourth Proportional to 650,728.06, 976,063.32 and 177,413.47

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Solution

The fourth proportional to 650,728.06, 976,063.32 and 177,413.47 is: 266,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,728.06 : 976,063.32 = 177,413.47 : x
  2. Step 2: Convert to fraction form
    650,728.06/976,063.32 = 177,413.47/x
  3. Step 3: Cross multiply
    650,728.06x = 976,063.32 × 177,413.47
  4. Step 4: Simplify right side
    650,728.06x = 173,166,780,540.92
  5. Step 5: Solve for x
    x = 173,166,780,540.92/650,728.06
  6. Step 6: Final answer
    x = 266,112.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.