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Finding the Fourth Proportional to 303,216.64, 418,442.24 and 169,082.88

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Solution

The fourth proportional to 303,216.64, 418,442.24 and 169,082.88 is: 233,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,216.64 : 418,442.24 = 169,082.88 : x
  2. Step 2: Convert to fraction form
    303,216.64/418,442.24 = 169,082.88/x
  3. Step 3: Cross multiply
    303,216.64x = 418,442.24 × 169,082.88
  4. Step 4: Simplify right side
    303,216.64x = 70,751,419,052.85
  5. Step 5: Solve for x
    x = 70,751,419,052.85/303,216.64
  6. Step 6: Final answer
    x = 233,336.20

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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.