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Finding the Fourth Proportional to 279,340.31, 419,008.23 and 184,992.68

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Solution

The fourth proportional to 279,340.31, 419,008.23 and 184,992.68 is: 277,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,340.31 : 419,008.23 = 184,992.68 : x
  2. Step 2: Convert to fraction form
    279,340.31/419,008.23 = 184,992.68/x
  3. Step 3: Cross multiply
    279,340.31x = 419,008.23 × 184,992.68
  4. Step 4: Simplify right side
    279,340.31x = 77,513,456,457.28
  5. Step 5: Solve for x
    x = 77,513,456,457.28/279,340.31
  6. Step 6: Final answer
    x = 277,487.54

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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.