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Finding the Fourth Proportional to 285,759.10, 428,709.94 and 201,683.50

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Solution

The fourth proportional to 285,759.10, 428,709.94 and 201,683.50 is: 302,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,759.10 : 428,709.94 = 201,683.50 : x
  2. Step 2: Convert to fraction form
    285,759.10/428,709.94 = 201,683.50/x
  3. Step 3: Cross multiply
    285,759.10x = 428,709.94 × 201,683.50
  4. Step 4: Simplify right side
    285,759.10x = 86,463,721,183.99
  5. Step 5: Solve for x
    x = 86,463,721,183.99/285,759.10
  6. Step 6: Final answer
    x = 302,575.57

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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.