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Finding the Fourth Proportional to 286,777.31, 395,732.11 and 157,724.73

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Solution

The fourth proportional to 286,777.31, 395,732.11 and 157,724.73 is: 217,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,777.31 : 395,732.11 = 157,724.73 : x
  2. Step 2: Convert to fraction form
    286,777.31/395,732.11 = 157,724.73/x
  3. Step 3: Cross multiply
    286,777.31x = 395,732.11 × 157,724.73
  4. Step 4: Simplify right side
    286,777.31x = 62,416,739,413.46
  5. Step 5: Solve for x
    x = 62,416,739,413.46/286,777.31
  6. Step 6: Final answer
    x = 217,648.81

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1.5x scale

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.