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Finding the Fourth Proportional to 308,633.76, 462,633.84 and 150,667.92

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Solution

The fourth proportional to 308,633.76, 462,633.84 and 150,667.92 is: 225,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,633.76 : 462,633.84 = 150,667.92 : x
  2. Step 2: Convert to fraction form
    308,633.76/462,633.84 = 150,667.92/x
  3. Step 3: Cross multiply
    308,633.76x = 462,633.84 × 150,667.92
  4. Step 4: Simplify right side
    308,633.76x = 69,704,078,394.41
  5. Step 5: Solve for x
    x = 69,704,078,394.41/308,633.76
  6. Step 6: Final answer
    x = 225,847.23

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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.