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Finding the Fourth Proportional to 338,396.37, 507,575.84 and 113,733.59

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Solution

The fourth proportional to 338,396.37, 507,575.84 and 113,733.59 is: 170,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,396.37 : 507,575.84 = 113,733.59 : x
  2. Step 2: Convert to fraction form
    338,396.37/507,575.84 = 113,733.59/x
  3. Step 3: Cross multiply
    338,396.37x = 507,575.84 × 113,733.59
  4. Step 4: Simplify right side
    338,396.37x = 57,728,419,373.92
  5. Step 5: Solve for x
    x = 57,728,419,373.92/338,396.37
  6. Step 6: Final answer
    x = 170,594.09

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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.