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Finding the Fourth Proportional to 433,741.80, 650,418.30 and 167,413.80

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Solution

The fourth proportional to 433,741.80, 650,418.30 and 167,413.80 is: 251,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,741.80 : 650,418.30 = 167,413.80 : x
  2. Step 2: Convert to fraction form
    433,741.80/650,418.30 = 167,413.80/x
  3. Step 3: Cross multiply
    433,741.80x = 650,418.30 × 167,413.80
  4. Step 4: Simplify right side
    433,741.80x = 108,888,999,192.54
  5. Step 5: Solve for x
    x = 108,888,999,192.54/433,741.80
  6. Step 6: Final answer
    x = 251,045.67

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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.