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Finding the Fourth Proportional to 362,588.82, 500,381.52 and 199,244

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Solution

The fourth proportional to 362,588.82, 500,381.52 and 199,244 is: 274,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,588.82 : 500,381.52 = 199,244 : x
  2. Step 2: Convert to fraction form
    362,588.82/500,381.52 = 199,244/x
  3. Step 3: Cross multiply
    362,588.82x = 500,381.52 × 199,244
  4. Step 4: Simplify right side
    362,588.82x = 99,698,015,570.88
  5. Step 5: Solve for x
    x = 99,698,015,570.88/362,588.82
  6. Step 6: Final answer
    x = 274,961.64

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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.