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Finding the Fourth Proportional to 383,477.56, 529,201.65 and 213,722.62

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Solution

The fourth proportional to 383,477.56, 529,201.65 and 213,722.62 is: 294,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,477.56 : 529,201.65 = 213,722.62 : x
  2. Step 2: Convert to fraction form
    383,477.56/529,201.65 = 213,722.62/x
  3. Step 3: Cross multiply
    383,477.56x = 529,201.65 × 213,722.62
  4. Step 4: Simplify right side
    383,477.56x = 113,102,362,624.78
  5. Step 5: Solve for x
    x = 113,102,362,624.78/383,477.56
  6. Step 6: Final answer
    x = 294,938.67

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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.