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Finding the Fourth Proportional to 382,826.50, 574,195.93 and 102,365.62

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Solution

The fourth proportional to 382,826.50, 574,195.93 and 102,365.62 is: 153,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,826.50 : 574,195.93 = 102,365.62 : x
  2. Step 2: Convert to fraction form
    382,826.50/574,195.93 = 102,365.62/x
  3. Step 3: Cross multiply
    382,826.50x = 574,195.93 × 102,365.62
  4. Step 4: Simplify right side
    382,826.50x = 58,777,920,940.44
  5. Step 5: Solve for x
    x = 58,777,920,940.44/382,826.50
  6. Step 6: Final answer
    x = 153,536.71

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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.