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Finding the Fourth Proportional to 369,198.36, 509,493.96 and 199,432.56

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Solution

The fourth proportional to 369,198.36, 509,493.96 and 199,432.56 is: 275,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,198.36 : 509,493.96 = 199,432.56 : x
  2. Step 2: Convert to fraction form
    369,198.36/509,493.96 = 199,432.56/x
  3. Step 3: Cross multiply
    369,198.36x = 509,493.96 × 199,432.56
  4. Step 4: Simplify right side
    369,198.36x = 101,609,684,747.34
  5. Step 5: Solve for x
    x = 101,609,684,747.34/369,198.36
  6. Step 6: Final answer
    x = 275,217.05

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1.5x scale

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.