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Finding the Fourth Proportional to 325,418.94, 488,473.47 and 288,220.50

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Solution

The fourth proportional to 325,418.94, 488,473.47 and 288,220.50 is: 432,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,418.94 : 488,473.47 = 288,220.50 : x
  2. Step 2: Convert to fraction form
    325,418.94/488,473.47 = 288,220.50/x
  3. Step 3: Cross multiply
    325,418.94x = 488,473.47 × 288,220.50
  4. Step 4: Simplify right side
    325,418.94x = 140,788,067,760.14
  5. Step 5: Solve for x
    x = 140,788,067,760.14/325,418.94
  6. Step 6: Final answer
    x = 432,636.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.