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Finding the Fourth Proportional to 301,404.75, 415,938.56 and 167,268.75

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Solution

The fourth proportional to 301,404.75, 415,938.56 and 167,268.75 is: 230,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,404.75 : 415,938.56 = 167,268.75 : x
  2. Step 2: Convert to fraction form
    301,404.75/415,938.56 = 167,268.75/x
  3. Step 3: Cross multiply
    301,404.75x = 415,938.56 × 167,268.75
  4. Step 4: Simplify right side
    301,404.75x = 69,573,522,171.66
  5. Step 5: Solve for x
    x = 69,573,522,171.66/301,404.75
  6. Step 6: Final answer
    x = 230,830.88

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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.