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Finding the Fourth Proportional to 273,233.45, 409,358.10 and 167,929.40

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Solution

The fourth proportional to 273,233.45, 409,358.10 and 167,929.40 is: 251,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,233.45 : 409,358.10 = 167,929.40 : x
  2. Step 2: Convert to fraction form
    273,233.45/409,358.10 = 167,929.40/x
  3. Step 3: Cross multiply
    273,233.45x = 409,358.10 × 167,929.40
  4. Step 4: Simplify right side
    273,233.45x = 68,743,260,118.14
  5. Step 5: Solve for x
    x = 68,743,260,118.14/273,233.45
  6. Step 6: Final answer
    x = 251,591.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.