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Finding the Fourth Proportional to 362,012.19, 499,569.15 and 200,863.77

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Solution

The fourth proportional to 362,012.19, 499,569.15 and 200,863.77 is: 277,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,012.19 : 499,569.15 = 200,863.77 : x
  2. Step 2: Convert to fraction form
    362,012.19/499,569.15 = 200,863.77/x
  3. Step 3: Cross multiply
    362,012.19x = 499,569.15 × 200,863.77
  4. Step 4: Simplify right side
    362,012.19x = 100,345,342,844.70
  5. Step 5: Solve for x
    x = 100,345,342,844.70/362,012.19
  6. Step 6: Final answer
    x = 277,187.75

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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.