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Finding the Fourth Proportional to 393,766.80, 589,969.80 and 182,972.40

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Solution

The fourth proportional to 393,766.80, 589,969.80 and 182,972.40 is: 274,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,766.80 : 589,969.80 = 182,972.40 : x
  2. Step 2: Convert to fraction form
    393,766.80/589,969.80 = 182,972.40/x
  3. Step 3: Cross multiply
    393,766.80x = 589,969.80 × 182,972.40
  4. Step 4: Simplify right side
    393,766.80x = 107,948,190,233.52
  5. Step 5: Solve for x
    x = 107,948,190,233.52/393,766.80
  6. Step 6: Final answer
    x = 274,142.44

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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.