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Finding the Fourth Proportional to 394,441.80, 590,982.30 and 183,647.40

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Solution

The fourth proportional to 394,441.80, 590,982.30 and 183,647.40 is: 275,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,441.80 : 590,982.30 = 183,647.40 : x
  2. Step 2: Convert to fraction form
    394,441.80/590,982.30 = 183,647.40/x
  3. Step 3: Cross multiply
    394,441.80x = 590,982.30 × 183,647.40
  4. Step 4: Simplify right side
    394,441.80x = 108,532,362,841.02
  5. Step 5: Solve for x
    x = 108,532,362,841.02/394,441.80
  6. Step 6: Final answer
    x = 275,154.31

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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.