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Finding the Fourth Proportional to 321,824.40, 482,627.24 and 111,413.13

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Solution

The fourth proportional to 321,824.40, 482,627.24 and 111,413.13 is: 167,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,824.40 : 482,627.24 = 111,413.13 : x
  2. Step 2: Convert to fraction form
    321,824.40/482,627.24 = 111,413.13/x
  3. Step 3: Cross multiply
    321,824.40x = 482,627.24 × 111,413.13
  4. Step 4: Simplify right side
    321,824.40x = 53,771,011,431.66
  5. Step 5: Solve for x
    x = 53,771,011,431.66/321,824.40
  6. Step 6: Final answer
    x = 167,081.84

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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.