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Finding the Fourth Proportional to 231,856.40, 347,784.60 and 206,924.60

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Solution

The fourth proportional to 231,856.40, 347,784.60 and 206,924.60 is: 310,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856.40 : 347,784.60 = 206,924.60 : x
  2. Step 2: Convert to fraction form
    231,856.40/347,784.60 = 206,924.60/x
  3. Step 3: Cross multiply
    231,856.40x = 347,784.60 × 206,924.60
  4. Step 4: Simplify right side
    231,856.40x = 71,965,189,241.16
  5. Step 5: Solve for x
    x = 71,965,189,241.16/231,856.40
  6. Step 6: Final answer
    x = 310,386.90

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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.