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Finding the Fourth Proportional to 305,944.56, 458,100.36 and 179,480.88

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Solution

The fourth proportional to 305,944.56, 458,100.36 and 179,480.88 is: 268,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,944.56 : 458,100.36 = 179,480.88 : x
  2. Step 2: Convert to fraction form
    305,944.56/458,100.36 = 179,480.88/x
  3. Step 3: Cross multiply
    305,944.56x = 458,100.36 × 179,480.88
  4. Step 4: Simplify right side
    305,944.56x = 82,220,255,741.12
  5. Step 5: Solve for x
    x = 82,220,255,741.12/305,944.56
  6. Step 6: Final answer
    x = 268,742.34

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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.