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Finding the Fourth Proportional to 362,021.19, 499,581.57 and 200,872.77

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Solution

The fourth proportional to 362,021.19, 499,581.57 and 200,872.77 is: 277,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,021.19 : 499,581.57 = 200,872.77 : x
  2. Step 2: Convert to fraction form
    362,021.19/499,581.57 = 200,872.77/x
  3. Step 3: Cross multiply
    362,021.19x = 499,581.57 × 200,872.77
  4. Step 4: Simplify right side
    362,021.19x = 100,352,333,806.85
  5. Step 5: Solve for x
    x = 100,352,333,806.85/362,021.19
  6. Step 6: Final answer
    x = 277,200.17

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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.