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Finding the Fourth Proportional to 489,633.24, 734,365.20 and 129,806.48

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Solution

The fourth proportional to 489,633.24, 734,365.20 and 129,806.48 is: 194,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,633.24 : 734,365.20 = 129,806.48 : x
  2. Step 2: Convert to fraction form
    489,633.24/734,365.20 = 129,806.48/x
  3. Step 3: Cross multiply
    489,633.24x = 734,365.20 × 129,806.48
  4. Step 4: Simplify right side
    489,633.24x = 95,325,361,646.50
  5. Step 5: Solve for x
    x = 95,325,361,646.50/489,633.24
  6. Step 6: Final answer
    x = 194,687.28

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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.