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Finding the Fourth Proportional to 280,853.60, 420,405.60 and 202,121.60

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Solution

The fourth proportional to 280,853.60, 420,405.60 and 202,121.60 is: 302,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,853.60 : 420,405.60 = 202,121.60 : x
  2. Step 2: Convert to fraction form
    280,853.60/420,405.60 = 202,121.60/x
  3. Step 3: Cross multiply
    280,853.60x = 420,405.60 × 202,121.60
  4. Step 4: Simplify right side
    280,853.60x = 84,973,052,520.96
  5. Step 5: Solve for x
    x = 84,973,052,520.96/280,853.60
  6. Step 6: Final answer
    x = 302,552.83

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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.