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Finding the Fourth Proportional to 338,062.84, 466,842.78 and 217,413.62

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Solution

The fourth proportional to 338,062.84, 466,842.78 and 217,413.62 is: 300,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,062.84 : 466,842.78 = 217,413.62 : x
  2. Step 2: Convert to fraction form
    338,062.84/466,842.78 = 217,413.62/x
  3. Step 3: Cross multiply
    338,062.84x = 466,842.78 × 217,413.62
  4. Step 4: Simplify right side
    338,062.84x = 101,497,978,770.66
  5. Step 5: Solve for x
    x = 101,497,978,770.66/338,062.84
  6. Step 6: Final answer
    x = 300,234.06

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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.