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Finding the Fourth Proportional to 382,825.50, 574,194.48 and 102,364.62

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Solution

The fourth proportional to 382,825.50, 574,194.48 and 102,364.62 is: 153,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,825.50 : 574,194.48 = 102,364.62 : x
  2. Step 2: Convert to fraction form
    382,825.50/574,194.48 = 102,364.62/x
  3. Step 3: Cross multiply
    382,825.50x = 574,194.48 × 102,364.62
  4. Step 4: Simplify right side
    382,825.50x = 58,777,199,751.30
  5. Step 5: Solve for x
    x = 58,777,199,751.30/382,825.50
  6. Step 6: Final answer
    x = 153,535.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.