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Finding the Fourth Proportional to 294,745.21, 406,748.31 and 160,609.21

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Solution

The fourth proportional to 294,745.21, 406,748.31 and 160,609.21 is: 221,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,745.21 : 406,748.31 = 160,609.21 : x
  2. Step 2: Convert to fraction form
    294,745.21/406,748.31 = 160,609.21/x
  3. Step 3: Cross multiply
    294,745.21x = 406,748.31 × 160,609.21
  4. Step 4: Simplify right side
    294,745.21x = 65,327,524,737.94
  5. Step 5: Solve for x
    x = 65,327,524,737.94/294,745.21
  6. Step 6: Final answer
    x = 221,640.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.