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Finding the Fourth Proportional to 504,586.26, 696,351.33 and 289,735.38

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Solution

The fourth proportional to 504,586.26, 696,351.33 and 289,735.38 is: 399,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,586.26 : 696,351.33 = 289,735.38 : x
  2. Step 2: Convert to fraction form
    504,586.26/696,351.33 = 289,735.38/x
  3. Step 3: Cross multiply
    504,586.26x = 696,351.33 × 289,735.38
  4. Step 4: Simplify right side
    504,586.26x = 201,757,617,211.06
  5. Step 5: Solve for x
    x = 201,757,617,211.06/504,586.26
  6. Step 6: Final answer
    x = 399,847.62

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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.