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Finding the Fourth Proportional to 393,082.44, 589,623.30 and 123,212.52

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Solution

The fourth proportional to 393,082.44, 589,623.30 and 123,212.52 is: 184,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,082.44 : 589,623.30 = 123,212.52 : x
  2. Step 2: Convert to fraction form
    393,082.44/589,623.30 = 123,212.52/x
  3. Step 3: Cross multiply
    393,082.44x = 589,623.30 × 123,212.52
  4. Step 4: Simplify right side
    393,082.44x = 72,648,972,643.72
  5. Step 5: Solve for x
    x = 72,648,972,643.72/393,082.44
  6. Step 6: Final answer
    x = 184,818.67

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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.