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Finding the Fourth Proportional to 415,704.33, 573,672.42 and 224,717.76

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Solution

The fourth proportional to 415,704.33, 573,672.42 and 224,717.76 is: 310,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,704.33 : 573,672.42 = 224,717.76 : x
  2. Step 2: Convert to fraction form
    415,704.33/573,672.42 = 224,717.76/x
  3. Step 3: Cross multiply
    415,704.33x = 573,672.42 × 224,717.76
  4. Step 4: Simplify right side
    415,704.33x = 128,914,381,196.18
  5. Step 5: Solve for x
    x = 128,914,381,196.18/415,704.33
  6. Step 6: Final answer
    x = 310,110.75

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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.