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Finding the Fourth Proportional to 482,806.30, 724,205.85 and 145,846.30

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Solution

The fourth proportional to 482,806.30, 724,205.85 and 145,846.30 is: 218,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,806.30 : 724,205.85 = 145,846.30 : x
  2. Step 2: Convert to fraction form
    482,806.30/724,205.85 = 145,846.30/x
  3. Step 3: Cross multiply
    482,806.30x = 724,205.85 × 145,846.30
  4. Step 4: Simplify right side
    482,806.30x = 105,622,743,660.86
  5. Step 5: Solve for x
    x = 105,622,743,660.86/482,806.30
  6. Step 6: Final answer
    x = 218,768.36

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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.