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Finding the Fourth Proportional to 500,196.06, 690,336.27 and 285,286.86

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Solution

The fourth proportional to 500,196.06, 690,336.27 and 285,286.86 is: 393,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,196.06 : 690,336.27 = 285,286.86 : x
  2. Step 2: Convert to fraction form
    500,196.06/690,336.27 = 285,286.86/x
  3. Step 3: Cross multiply
    500,196.06x = 690,336.27 × 285,286.86
  4. Step 4: Simplify right side
    500,196.06x = 196,943,866,812.41
  5. Step 5: Solve for x
    x = 196,943,866,812.41/500,196.06
  6. Step 6: Final answer
    x = 393,733.34

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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.