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Finding the Fourth Proportional to 482,717.80, 724,163.10 and 202,263.40

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Solution

The fourth proportional to 482,717.80, 724,163.10 and 202,263.40 is: 303,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,717.80 : 724,163.10 = 202,263.40 : x
  2. Step 2: Convert to fraction form
    482,717.80/724,163.10 = 202,263.40/x
  3. Step 3: Cross multiply
    482,717.80x = 724,163.10 × 202,263.40
  4. Step 4: Simplify right side
    482,717.80x = 146,471,690,760.54
  5. Step 5: Solve for x
    x = 146,471,690,760.54/482,717.80
  6. Step 6: Final answer
    x = 303,431.30

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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.