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Finding the Fourth Proportional to 320,425.30, 480,249.15 and 142,743.70

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Solution

The fourth proportional to 320,425.30, 480,249.15 and 142,743.70 is: 213,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,425.30 : 480,249.15 = 142,743.70 : x
  2. Step 2: Convert to fraction form
    320,425.30/480,249.15 = 142,743.70/x
  3. Step 3: Cross multiply
    320,425.30x = 480,249.15 × 142,743.70
  4. Step 4: Simplify right side
    320,425.30x = 68,552,540,592.86
  5. Step 5: Solve for x
    x = 68,552,540,592.86/320,425.30
  6. Step 6: Final answer
    x = 213,942.35

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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.