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Finding the Fourth Proportional to 335,305.14, 462,711.78 and 184,402.14

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Solution

The fourth proportional to 335,305.14, 462,711.78 and 184,402.14 is: 254,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,305.14 : 462,711.78 = 184,402.14 : x
  2. Step 2: Convert to fraction form
    335,305.14/462,711.78 = 184,402.14/x
  3. Step 3: Cross multiply
    335,305.14x = 462,711.78 × 184,402.14
  4. Step 4: Simplify right side
    335,305.14x = 85,325,042,435.21
  5. Step 5: Solve for x
    x = 85,325,042,435.21/335,305.14
  6. Step 6: Final answer
    x = 254,469.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.