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Finding the Fourth Proportional to 542,896.56, 814,413.69 and 206,054.82

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Solution

The fourth proportional to 542,896.56, 814,413.69 and 206,054.82 is: 309,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,896.56 : 814,413.69 = 206,054.82 : x
  2. Step 2: Convert to fraction form
    542,896.56/814,413.69 = 206,054.82/x
  3. Step 3: Cross multiply
    542,896.56x = 814,413.69 × 206,054.82
  4. Step 4: Simplify right side
    542,896.56x = 167,813,866,298.49
  5. Step 5: Solve for x
    x = 167,813,866,298.49/542,896.56
  6. Step 6: Final answer
    x = 309,108.36

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1.5x scale

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.