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Finding the Fourth Proportional to 369,524.31, 509,944.86 and 199,758.44

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Solution

The fourth proportional to 369,524.31, 509,944.86 and 199,758.44 is: 275,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,524.31 : 509,944.86 = 199,758.44 : x
  2. Step 2: Convert to fraction form
    369,524.31/509,944.86 = 199,758.44/x
  3. Step 3: Cross multiply
    369,524.31x = 509,944.86 × 199,758.44
  4. Step 4: Simplify right side
    369,524.31x = 101,865,787,169.89
  5. Step 5: Solve for x
    x = 101,865,787,169.89/369,524.31
  6. Step 6: Final answer
    x = 275,667.35

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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.