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Finding the Fourth Proportional to 338,540.52, 507,860.00 and 180,682.86

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Solution

The fourth proportional to 338,540.52, 507,860.00 and 180,682.86 is: 271,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,540.52 : 507,860.00 = 180,682.86 : x
  2. Step 2: Convert to fraction form
    338,540.52/507,860.00 = 180,682.86/x
  3. Step 3: Cross multiply
    338,540.52x = 507,860.00 × 180,682.86
  4. Step 4: Simplify right side
    338,540.52x = 91,761,598,958.22
  5. Step 5: Solve for x
    x = 91,761,598,958.22/338,540.52
  6. Step 6: Final answer
    x = 271,050.56

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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.