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Finding the Fourth Proportional to 231,743.10, 347,614.65 and 231,743.10

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Solution

The fourth proportional to 231,743.10, 347,614.65 and 231,743.10 is: 347,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,743.10 : 347,614.65 = 231,743.10 : x
  2. Step 2: Convert to fraction form
    231,743.10/347,614.65 = 231,743.10/x
  3. Step 3: Cross multiply
    231,743.10x = 347,614.65 × 231,743.10
  4. Step 4: Simplify right side
    231,743.10x = 80,557,296,596.42
  5. Step 5: Solve for x
    x = 80,557,296,596.42/231,743.10
  6. Step 6: Final answer
    x = 347,614.65

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1.5x scale

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.