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Finding the Fourth Proportional to 415,850.54, 573,873.36 and 224,863.48

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Solution

The fourth proportional to 415,850.54, 573,873.36 and 224,863.48 is: 310,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,850.54 : 573,873.36 = 224,863.48 : x
  2. Step 2: Convert to fraction form
    415,850.54/573,873.36 = 224,863.48/x
  3. Step 3: Cross multiply
    415,850.54x = 573,873.36 × 224,863.48
  4. Step 4: Simplify right side
    415,850.54x = 129,043,160,808.89
  5. Step 5: Solve for x
    x = 129,043,160,808.89/415,850.54
  6. Step 6: Final answer
    x = 310,311.39

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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.