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Finding the Fourth Proportional to 297,093.38, 409,989.53 and 169,768.67

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Solution

The fourth proportional to 297,093.38, 409,989.53 and 169,768.67 is: 234,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,093.38 : 409,989.53 = 169,768.67 : x
  2. Step 2: Convert to fraction form
    297,093.38/409,989.53 = 169,768.67/x
  3. Step 3: Cross multiply
    297,093.38x = 409,989.53 × 169,768.67
  4. Step 4: Simplify right side
    297,093.38x = 69,603,375,596.50
  5. Step 5: Solve for x
    x = 69,603,375,596.50/297,093.38
  6. Step 6: Final answer
    x = 234,281.14

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Why These Related Problems?

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