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Finding the Fourth Proportional to 325,701.28, 488,782.77 and 148,231.09

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Solution

The fourth proportional to 325,701.28, 488,782.77 and 148,231.09 is: 222,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,701.28 : 488,782.77 = 148,231.09 : x
  2. Step 2: Convert to fraction form
    325,701.28/488,782.77 = 148,231.09/x
  3. Step 3: Cross multiply
    325,701.28x = 488,782.77 × 148,231.09
  4. Step 4: Simplify right side
    325,701.28x = 72,452,802,770.32
  5. Step 5: Solve for x
    x = 72,452,802,770.32/325,701.28
  6. Step 6: Final answer
    x = 222,451.70

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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.