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Finding the Fourth Proportional to 294,413.28, 406,278.24 and 167,086.56

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Solution

The fourth proportional to 294,413.28, 406,278.24 and 167,086.56 is: 230,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,413.28 : 406,278.24 = 167,086.56 : x
  2. Step 2: Convert to fraction form
    294,413.28/406,278.24 = 167,086.56/x
  3. Step 3: Cross multiply
    294,413.28x = 406,278.24 × 167,086.56
  4. Step 4: Simplify right side
    294,413.28x = 67,883,633,524.45
  5. Step 5: Solve for x
    x = 67,883,633,524.45/294,413.28
  6. Step 6: Final answer
    x = 230,572.59

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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.