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Finding the Fourth Proportional to 505,400.58, 757,654.56 and 206,131.50

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Solution

The fourth proportional to 505,400.58, 757,654.56 and 206,131.50 is: 309,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,400.58 : 757,654.56 = 206,131.50 : x
  2. Step 2: Convert to fraction form
    505,400.58/757,654.56 = 206,131.50/x
  3. Step 3: Cross multiply
    505,400.58x = 757,654.56 × 206,131.50
  4. Step 4: Simplify right side
    505,400.58x = 156,176,470,934.64
  5. Step 5: Solve for x
    x = 156,176,470,934.64/505,400.58
  6. Step 6: Final answer
    x = 309,015.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.