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Finding the Fourth Proportional to 325,974.40, 489,107.40 and 157,429.60

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Solution

The fourth proportional to 325,974.40, 489,107.40 and 157,429.60 is: 236,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,974.40 : 489,107.40 = 157,429.60 : x
  2. Step 2: Convert to fraction form
    325,974.40/489,107.40 = 157,429.60/x
  3. Step 3: Cross multiply
    325,974.40x = 489,107.40 × 157,429.60
  4. Step 4: Simplify right side
    325,974.40x = 76,999,982,339.04
  5. Step 5: Solve for x
    x = 76,999,982,339.04/325,974.40
  6. Step 6: Final answer
    x = 236,214.81

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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.