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Finding the Fourth Proportional to 505,465.82, 758,184.15 and 205,872.33

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Solution

The fourth proportional to 505,465.82, 758,184.15 and 205,872.33 is: 308,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,465.82 : 758,184.15 = 205,872.33 : x
  2. Step 2: Convert to fraction form
    505,465.82/758,184.15 = 205,872.33/x
  3. Step 3: Cross multiply
    505,465.82x = 758,184.15 × 205,872.33
  4. Step 4: Simplify right side
    505,465.82x = 156,089,139,986.75
  5. Step 5: Solve for x
    x = 156,089,139,986.75/505,465.82
  6. Step 6: Final answer
    x = 308,802.56

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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.