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Finding the Fourth Proportional to 382,516.32, 527,861.91 and 210,433.44

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Solution

The fourth proportional to 382,516.32, 527,861.91 and 210,433.44 is: 290,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,516.32 : 527,861.91 = 210,433.44 : x
  2. Step 2: Convert to fraction form
    382,516.32/527,861.91 = 210,433.44/x
  3. Step 3: Cross multiply
    382,516.32x = 527,861.91 × 210,433.44
  4. Step 4: Simplify right side
    382,516.32x = 111,079,800,334.88
  5. Step 5: Solve for x
    x = 111,079,800,334.88/382,516.32
  6. Step 6: Final answer
    x = 290,392.31

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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.