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Finding the Fourth Proportional to 383,082.39, 574,426.75 and 205,738.56

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Solution

The fourth proportional to 383,082.39, 574,426.75 and 205,738.56 is: 308,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,082.39 : 574,426.75 = 205,738.56 : x
  2. Step 2: Convert to fraction form
    383,082.39/574,426.75 = 205,738.56/x
  3. Step 3: Cross multiply
    383,082.39x = 574,426.75 × 205,738.56
  4. Step 4: Simplify right side
    383,082.39x = 118,181,732,370.48
  5. Step 5: Solve for x
    x = 118,181,732,370.48/383,082.39
  6. Step 6: Final answer
    x = 308,502.13

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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.