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Finding the Fourth Proportional to 231,864.60, 347,796.90 and 200,371.80

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Solution

The fourth proportional to 231,864.60, 347,796.90 and 200,371.80 is: 300,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864.60 : 347,796.90 = 200,371.80 : x
  2. Step 2: Convert to fraction form
    231,864.60/347,796.90 = 200,371.80/x
  3. Step 3: Cross multiply
    231,864.60x = 347,796.90 × 200,371.80
  4. Step 4: Simplify right side
    231,864.60x = 69,688,690,887.42
  5. Step 5: Solve for x
    x = 69,688,690,887.42/231,864.60
  6. Step 6: Final answer
    x = 300,557.70

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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.