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Finding the Fourth Proportional to 381,450.24, 526,279.68 and 220,284

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Solution

The fourth proportional to 381,450.24, 526,279.68 and 220,284 is: 303,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,450.24 : 526,279.68 = 220,284 : x
  2. Step 2: Convert to fraction form
    381,450.24/526,279.68 = 220,284/x
  3. Step 3: Cross multiply
    381,450.24x = 526,279.68 × 220,284
  4. Step 4: Simplify right side
    381,450.24x = 115,930,993,029.12
  5. Step 5: Solve for x
    x = 115,930,993,029.12/381,450.24
  6. Step 6: Final answer
    x = 303,921.67

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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.