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Finding the Fourth Proportional to 382,834.50, 574,514.73 and 133,516.50

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Solution

The fourth proportional to 382,834.50, 574,514.73 and 133,516.50 is: 200,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,834.50 : 574,514.73 = 133,516.50 : x
  2. Step 2: Convert to fraction form
    382,834.50/574,514.73 = 133,516.50/x
  3. Step 3: Cross multiply
    382,834.50x = 574,514.73 × 133,516.50
  4. Step 4: Simplify right side
    382,834.50x = 76,707,195,948.05
  5. Step 5: Solve for x
    x = 76,707,195,948.05/382,834.50
  6. Step 6: Final answer
    x = 200,366.47

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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.