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Finding the Fourth Proportional to 369,183.38, 509,473.26 and 199,417.50

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Solution

The fourth proportional to 369,183.38, 509,473.26 and 199,417.50 is: 275,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,183.38 : 509,473.26 = 199,417.50 : x
  2. Step 2: Convert to fraction form
    369,183.38/509,473.26 = 199,417.50/x
  3. Step 3: Cross multiply
    369,183.38x = 509,473.26 × 199,417.50
  4. Step 4: Simplify right side
    369,183.38x = 101,597,883,826.05
  5. Step 5: Solve for x
    x = 101,597,883,826.05/369,183.38
  6. Step 6: Final answer
    x = 275,196.26

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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.