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Finding the Fourth Proportional to 650,727.80, 976,062.96 and 177,413.22

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Solution

The fourth proportional to 650,727.80, 976,062.96 and 177,413.22 is: 266,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,727.80 : 976,062.96 = 177,413.22 : x
  2. Step 2: Convert to fraction form
    650,727.80/976,062.96 = 177,413.22/x
  3. Step 3: Cross multiply
    650,727.80x = 976,062.96 × 177,413.22
  4. Step 4: Simplify right side
    650,727.80x = 173,166,472,656.33
  5. Step 5: Solve for x
    x = 173,166,472,656.33/650,727.80
  6. Step 6: Final answer
    x = 266,111.99

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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.