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Finding the Fourth Proportional to 362,928.94, 500,828.85 and 199,584.07

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Solution

The fourth proportional to 362,928.94, 500,828.85 and 199,584.07 is: 275,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,928.94 : 500,828.85 = 199,584.07 : x
  2. Step 2: Convert to fraction form
    362,928.94/500,828.85 = 199,584.07/x
  3. Step 3: Cross multiply
    362,928.94x = 500,828.85 × 199,584.07
  4. Step 4: Simplify right side
    362,928.94x = 99,957,462,007.45
  5. Step 5: Solve for x
    x = 99,957,462,007.45/362,928.94
  6. Step 6: Final answer
    x = 275,418.82

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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.