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Finding the Fourth Proportional to 415,644.38, 573,621.71 and 231,940.70

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Solution

The fourth proportional to 415,644.38, 573,621.71 and 231,940.70 is: 320,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,644.38 : 573,621.71 = 231,940.70 : x
  2. Step 2: Convert to fraction form
    415,644.38/573,621.71 = 231,940.70/x
  3. Step 3: Cross multiply
    415,644.38x = 573,621.71 × 231,940.70
  4. Step 4: Simplify right side
    415,644.38x = 133,046,220,952.60
  5. Step 5: Solve for x
    x = 133,046,220,952.60/415,644.38
  6. Step 6: Final answer
    x = 320,096.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.