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Finding the Fourth Proportional to 405,206.80, 606,935.40 and 263,489.20

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Solution

The fourth proportional to 405,206.80, 606,935.40 and 263,489.20 is: 394,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,206.80 : 606,935.40 = 263,489.20 : x
  2. Step 2: Convert to fraction form
    405,206.80/606,935.40 = 263,489.20/x
  3. Step 3: Cross multiply
    405,206.80x = 606,935.40 × 263,489.20
  4. Step 4: Simplify right side
    405,206.80x = 159,920,922,997.68
  5. Step 5: Solve for x
    x = 159,920,922,997.68/405,206.80
  6. Step 6: Final answer
    x = 394,664.95

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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.