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Finding the Fourth Proportional to 338,186.75, 507,338.44 and 113,568.80

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Solution

The fourth proportional to 338,186.75, 507,338.44 and 113,568.80 is: 170,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,186.75 : 507,338.44 = 113,568.80 : x
  2. Step 2: Convert to fraction form
    338,186.75/507,338.44 = 113,568.80/x
  3. Step 3: Cross multiply
    338,186.75x = 507,338.44 × 113,568.80
  4. Step 4: Simplify right side
    338,186.75x = 57,617,815,004.06
  5. Step 5: Solve for x
    x = 57,617,815,004.06/338,186.75
  6. Step 6: Final answer
    x = 170,372.78

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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.