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Finding the Fourth Proportional to 362,954.29, 500,743.06 and 219,662.05

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Solution

The fourth proportional to 362,954.29, 500,743.06 and 219,662.05 is: 303,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,954.29 : 500,743.06 = 219,662.05 : x
  2. Step 2: Convert to fraction form
    362,954.29/500,743.06 = 219,662.05/x
  3. Step 3: Cross multiply
    362,954.29x = 500,743.06 × 219,662.05
  4. Step 4: Simplify right side
    362,954.29x = 109,994,247,082.87
  5. Step 5: Solve for x
    x = 109,994,247,082.87/362,954.29
  6. Step 6: Final answer
    x = 303,052.62

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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.