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Finding the Fourth Proportional to 280,155.60, 419,577.30 and 213,233.40

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Solution

The fourth proportional to 280,155.60, 419,577.30 and 213,233.40 is: 319,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,155.60 : 419,577.30 = 213,233.40 : x
  2. Step 2: Convert to fraction form
    280,155.60/419,577.30 = 213,233.40/x
  3. Step 3: Cross multiply
    280,155.60x = 419,577.30 × 213,233.40
  4. Step 4: Simplify right side
    280,155.60x = 89,467,894,241.82
  5. Step 5: Solve for x
    x = 89,467,894,241.82/280,155.60
  6. Step 6: Final answer
    x = 319,350.73

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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.