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Finding the Fourth Proportional to 334,662.84, 500,739.50 and 199,231.52

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Solution

The fourth proportional to 334,662.84, 500,739.50 and 199,231.52 is: 298,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,662.84 : 500,739.50 = 199,231.52 : x
  2. Step 2: Convert to fraction form
    334,662.84/500,739.50 = 199,231.52/x
  3. Step 3: Cross multiply
    334,662.84x = 500,739.50 × 199,231.52
  4. Step 4: Simplify right side
    334,662.84x = 99,763,089,703.42
  5. Step 5: Solve for x
    x = 99,763,089,703.42/334,662.84
  6. Step 6: Final answer
    x = 298,100.29

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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.