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Finding the Fourth Proportional to 301,512.60, 451,612.80 and 182,977.20

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Solution

The fourth proportional to 301,512.60, 451,612.80 and 182,977.20 is: 274,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,512.60 : 451,612.80 = 182,977.20 : x
  2. Step 2: Convert to fraction form
    301,512.60/451,612.80 = 182,977.20/x
  3. Step 3: Cross multiply
    301,512.60x = 451,612.80 × 182,977.20
  4. Step 4: Simplify right side
    301,512.60x = 82,634,845,628.16
  5. Step 5: Solve for x
    x = 82,634,845,628.16/301,512.60
  6. Step 6: Final answer
    x = 274,067.64

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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.