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Finding the Fourth Proportional to 324,413.76, 447,686.56 and 181,176.32

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Solution

The fourth proportional to 324,413.76, 447,686.56 and 181,176.32 is: 250,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,413.76 : 447,686.56 = 181,176.32 : x
  2. Step 2: Convert to fraction form
    324,413.76/447,686.56 = 181,176.32/x
  3. Step 3: Cross multiply
    324,413.76x = 447,686.56 × 181,176.32
  4. Step 4: Simplify right side
    324,413.76x = 81,110,203,454.26
  5. Step 5: Solve for x
    x = 81,110,203,454.26/324,413.76
  6. Step 6: Final answer
    x = 250,020.85

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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.