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Finding the Fourth Proportional to 416,245.06, 574,419.89 and 225,258.46

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Solution

The fourth proportional to 416,245.06, 574,419.89 and 225,258.46 is: 310,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.06 : 574,419.89 = 225,258.46 : x
  2. Step 2: Convert to fraction form
    416,245.06/574,419.89 = 225,258.46/x
  3. Step 3: Cross multiply
    416,245.06x = 574,419.89 × 225,258.46
  4. Step 4: Simplify right side
    416,245.06x = 129,392,935,816.38
  5. Step 5: Solve for x
    x = 129,392,935,816.38/416,245.06
  6. Step 6: Final answer
    x = 310,857.59

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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.