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Finding the Fourth Proportional to 415,222.74, 573,007.38 and 224,236.12

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Solution

The fourth proportional to 415,222.74, 573,007.38 and 224,236.12 is: 309,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.74 : 573,007.38 = 224,236.12 : x
  2. Step 2: Convert to fraction form
    415,222.74/573,007.38 = 224,236.12/x
  3. Step 3: Cross multiply
    415,222.74x = 573,007.38 × 224,236.12
  4. Step 4: Simplify right side
    415,222.74x = 128,488,951,622.57
  5. Step 5: Solve for x
    x = 128,488,951,622.57/415,222.74
  6. Step 6: Final answer
    x = 309,445.84

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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.