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Finding the Fourth Proportional to 369,090.49, 509,344.86 and 199,324.60

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Solution

The fourth proportional to 369,090.49, 509,344.86 and 199,324.60 is: 275,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,090.49 : 509,344.86 = 199,324.60 : x
  2. Step 2: Convert to fraction form
    369,090.49/509,344.86 = 199,324.60/x
  3. Step 3: Cross multiply
    369,090.49x = 509,344.86 × 199,324.60
  4. Step 4: Simplify right side
    369,090.49x = 101,524,960,481.56
  5. Step 5: Solve for x
    x = 101,524,960,481.56/369,090.49
  6. Step 6: Final answer
    x = 275,067.94

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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.