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Finding the Fourth Proportional to 312,082.80, 467,509.80 and 289,964.40

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Solution

The fourth proportional to 312,082.80, 467,509.80 and 289,964.40 is: 434,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,082.80 : 467,509.80 = 289,964.40 : x
  2. Step 2: Convert to fraction form
    312,082.80/467,509.80 = 289,964.40/x
  3. Step 3: Cross multiply
    312,082.80x = 467,509.80 × 289,964.40
  4. Step 4: Simplify right side
    312,082.80x = 135,561,198,651.12
  5. Step 5: Solve for x
    x = 135,561,198,651.12/312,082.80
  6. Step 6: Final answer
    x = 434,375.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.