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Finding the Fourth Proportional to 482,652.60, 724,238.10 and 202,198.20

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Solution

The fourth proportional to 482,652.60, 724,238.10 and 202,198.20 is: 303,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,652.60 : 724,238.10 = 202,198.20 : x
  2. Step 2: Convert to fraction form
    482,652.60/724,238.10 = 202,198.20/x
  3. Step 3: Cross multiply
    482,652.60x = 724,238.10 × 202,198.20
  4. Step 4: Simplify right side
    482,652.60x = 146,439,640,191.42
  5. Step 5: Solve for x
    x = 146,439,640,191.42/482,652.60
  6. Step 6: Final answer
    x = 303,405.89

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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.