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Finding the Fourth Proportional to 301,933.44, 452,919.60 and 177,012

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Solution

The fourth proportional to 301,933.44, 452,919.60 and 177,012 is: 265,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,933.44 : 452,919.60 = 177,012 : x
  2. Step 2: Convert to fraction form
    301,933.44/452,919.60 = 177,012/x
  3. Step 3: Cross multiply
    301,933.44x = 452,919.60 × 177,012
  4. Step 4: Simplify right side
    301,933.44x = 80,172,204,235.20
  5. Step 5: Solve for x
    x = 80,172,204,235.20/301,933.44
  6. Step 6: Final answer
    x = 265,529.40

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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.