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Finding the Fourth Proportional to 320,011.97, 441,649.46 and 184,051.04

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Solution

The fourth proportional to 320,011.97, 441,649.46 and 184,051.04 is: 254,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,011.97 : 441,649.46 = 184,051.04 : x
  2. Step 2: Convert to fraction form
    320,011.97/441,649.46 = 184,051.04/x
  3. Step 3: Cross multiply
    320,011.97x = 441,649.46 × 184,051.04
  4. Step 4: Simplify right side
    320,011.97x = 81,286,040,680.32
  5. Step 5: Solve for x
    x = 81,286,040,680.32/320,011.97
  6. Step 6: Final answer
    x = 254,009.38

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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.