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Finding the Fourth Proportional to 531,513.72, 797,431.53 and 189,912.41

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Solution

The fourth proportional to 531,513.72, 797,431.53 and 189,912.41 is: 284,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,513.72 : 797,431.53 = 189,912.41 : x
  2. Step 2: Convert to fraction form
    531,513.72/797,431.53 = 189,912.41/x
  3. Step 3: Cross multiply
    531,513.72x = 797,431.53 × 189,912.41
  4. Step 4: Simplify right side
    531,513.72x = 151,442,138,735.57
  5. Step 5: Solve for x
    x = 151,442,138,735.57/531,513.72
  6. Step 6: Final answer
    x = 284,926.12

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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.