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Finding the Fourth Proportional to 415,939.41, 573,996.39 and 224,952.80

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Solution

The fourth proportional to 415,939.41, 573,996.39 and 224,952.80 is: 310,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,939.41 : 573,996.39 = 224,952.80 : x
  2. Step 2: Convert to fraction form
    415,939.41/573,996.39 = 224,952.80/x
  3. Step 3: Cross multiply
    415,939.41x = 573,996.39 × 224,952.80
  4. Step 4: Simplify right side
    415,939.41x = 129,122,093,995.63
  5. Step 5: Solve for x
    x = 129,122,093,995.63/415,939.41
  6. Step 6: Final answer
    x = 310,434.86

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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.