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Finding the Fourth Proportional to 302,229.64, 417,082.26 and 166,274.92

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Solution

The fourth proportional to 302,229.64, 417,082.26 and 166,274.92 is: 229,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,229.64 : 417,082.26 = 166,274.92 : x
  2. Step 2: Convert to fraction form
    302,229.64/417,082.26 = 166,274.92/x
  3. Step 3: Cross multiply
    302,229.64x = 417,082.26 × 166,274.92
  4. Step 4: Simplify right side
    302,229.64x = 69,350,319,414.92
  5. Step 5: Solve for x
    x = 69,350,319,414.92/302,229.64
  6. Step 6: Final answer
    x = 229,462.34

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1.5x scale

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.