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Finding the Fourth Proportional to 381,313.37, 526,212.24 and 209,232.44

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Solution

The fourth proportional to 381,313.37, 526,212.24 and 209,232.44 is: 288,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,313.37 : 526,212.24 = 209,232.44 : x
  2. Step 2: Convert to fraction form
    381,313.37/526,212.24 = 209,232.44/x
  3. Step 3: Cross multiply
    381,313.37x = 526,212.24 × 209,232.44
  4. Step 4: Simplify right side
    381,313.37x = 110,100,668,302.00
  5. Step 5: Solve for x
    x = 110,100,668,302.00/381,313.37
  6. Step 6: Final answer
    x = 288,740.65

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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.