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Finding the Fourth Proportional to 500,566.14, 690,830.82 and 285,738.51

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Solution

The fourth proportional to 500,566.14, 690,830.82 and 285,738.51 is: 394,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,566.14 : 690,830.82 = 285,738.51 : x
  2. Step 2: Convert to fraction form
    500,566.14/690,830.82 = 285,738.51/x
  3. Step 3: Cross multiply
    500,566.14x = 690,830.82 × 285,738.51
  4. Step 4: Simplify right side
    500,566.14x = 197,396,969,168.88
  5. Step 5: Solve for x
    x = 197,396,969,168.88/500,566.14
  6. Step 6: Final answer
    x = 394,347.43

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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.