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Finding the Fourth Proportional to 320,592.87, 442,422.82 and 184,651.23

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Solution

The fourth proportional to 320,592.87, 442,422.82 and 184,651.23 is: 254,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,592.87 : 442,422.82 = 184,651.23 : x
  2. Step 2: Convert to fraction form
    320,592.87/442,422.82 = 184,651.23/x
  3. Step 3: Cross multiply
    320,592.87x = 442,422.82 × 184,651.23
  4. Step 4: Simplify right side
    320,592.87x = 81,693,917,893.07
  5. Step 5: Solve for x
    x = 81,693,917,893.07/320,592.87
  6. Step 6: Final answer
    x = 254,821.38

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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.