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Finding the Fourth Proportional to 301,481.56, 416,023.74 and 167,335

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Solution

The fourth proportional to 301,481.56, 416,023.74 and 167,335 is: 230,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,481.56 : 416,023.74 = 167,335 : x
  2. Step 2: Convert to fraction form
    301,481.56/416,023.74 = 167,335/x
  3. Step 3: Cross multiply
    301,481.56x = 416,023.74 × 167,335
  4. Step 4: Simplify right side
    301,481.56x = 69,615,332,532.90
  5. Step 5: Solve for x
    x = 69,615,332,532.90/301,481.56
  6. Step 6: Final answer
    x = 230,910.75

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1.5x scale

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.