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Finding the Fourth Proportional to 415,422.64, 573,283.26 and 224,436.03

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Solution

The fourth proportional to 415,422.64, 573,283.26 and 224,436.03 is: 309,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.64 : 573,283.26 = 224,436.03 : x
  2. Step 2: Convert to fraction form
    415,422.64/573,283.26 = 224,436.03/x
  3. Step 3: Cross multiply
    415,422.64x = 573,283.26 × 224,436.03
  4. Step 4: Simplify right side
    415,422.64x = 128,665,418,939.86
  5. Step 5: Solve for x
    x = 128,665,418,939.86/415,422.64
  6. Step 6: Final answer
    x = 309,721.73

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