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Finding the Fourth Proportional to 298,635.40, 448,082.70 and 150,891.40

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Solution

The fourth proportional to 298,635.40, 448,082.70 and 150,891.40 is: 226,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,635.40 : 448,082.70 = 150,891.40 : x
  2. Step 2: Convert to fraction form
    298,635.40/448,082.70 = 150,891.40/x
  3. Step 3: Cross multiply
    298,635.40x = 448,082.70 × 150,891.40
  4. Step 4: Simplify right side
    298,635.40x = 67,611,825,918.78
  5. Step 5: Solve for x
    x = 67,611,825,918.78/298,635.40
  6. Step 6: Final answer
    x = 226,402.58

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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.