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Finding the Fourth Proportional to 367,796.37, 507,544.86 and 206,658.21

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Solution

The fourth proportional to 367,796.37, 507,544.86 and 206,658.21 is: 285,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,796.37 : 507,544.86 = 206,658.21 : x
  2. Step 2: Convert to fraction form
    367,796.37/507,544.86 = 206,658.21/x
  3. Step 3: Cross multiply
    367,796.37x = 507,544.86 × 206,658.21
  4. Step 4: Simplify right side
    367,796.37x = 104,888,312,262.30
  5. Step 5: Solve for x
    x = 104,888,312,262.30/367,796.37
  6. Step 6: Final answer
    x = 285,180.39

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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.