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Finding the Fourth Proportional to 362,991.70, 500,724.26 and 217,758.84

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Solution

The fourth proportional to 362,991.70, 500,724.26 and 217,758.84 is: 300,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,991.70 : 500,724.26 = 217,758.84 : x
  2. Step 2: Convert to fraction form
    362,991.70/500,724.26 = 217,758.84/x
  3. Step 3: Cross multiply
    362,991.70x = 500,724.26 × 217,758.84
  4. Step 4: Simplify right side
    362,991.70x = 109,037,131,513.84
  5. Step 5: Solve for x
    x = 109,037,131,513.84/362,991.70
  6. Step 6: Final answer
    x = 300,384.65

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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.