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Finding the Fourth Proportional to 301,484.56, 416,027.88 and 167,338

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Solution

The fourth proportional to 301,484.56, 416,027.88 and 167,338 is: 230,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,484.56 : 416,027.88 = 167,338 : x
  2. Step 2: Convert to fraction form
    301,484.56/416,027.88 = 167,338/x
  3. Step 3: Cross multiply
    301,484.56x = 416,027.88 × 167,338
  4. Step 4: Simplify right side
    301,484.56x = 69,617,273,383.44
  5. Step 5: Solve for x
    x = 69,617,273,383.44/301,484.56
  6. Step 6: Final answer
    x = 230,914.89

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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.