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Finding the Fourth Proportional to 365,999.58, 505,090.11 and 204,850.48

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Solution

The fourth proportional to 365,999.58, 505,090.11 and 204,850.48 is: 282,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,999.58 : 505,090.11 = 204,850.48 : x
  2. Step 2: Convert to fraction form
    365,999.58/505,090.11 = 204,850.48/x
  3. Step 3: Cross multiply
    365,999.58x = 505,090.11 × 204,850.48
  4. Step 4: Simplify right side
    365,999.58x = 103,467,951,476.75
  5. Step 5: Solve for x
    x = 103,467,951,476.75/365,999.58
  6. Step 6: Final answer
    x = 282,699.65

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1.5x scale

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.