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Finding the Fourth Proportional to 357,297.42, 535,249.50 and 199,049.34

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Solution

The fourth proportional to 357,297.42, 535,249.50 and 199,049.34 is: 298,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,297.42 : 535,249.50 = 199,049.34 : x
  2. Step 2: Convert to fraction form
    357,297.42/535,249.50 = 199,049.34/x
  3. Step 3: Cross multiply
    357,297.42x = 535,249.50 × 199,049.34
  4. Step 4: Simplify right side
    357,297.42x = 106,541,059,710.33
  5. Step 5: Solve for x
    x = 106,541,059,710.33/357,297.42
  6. Step 6: Final answer
    x = 298,185.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.