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Finding the Fourth Proportional to 298,491.30, 448,082.55 and 180,296.10

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Solution

The fourth proportional to 298,491.30, 448,082.55 and 180,296.10 is: 270,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,491.30 : 448,082.55 = 180,296.10 : x
  2. Step 2: Convert to fraction form
    298,491.30/448,082.55 = 180,296.10/x
  3. Step 3: Cross multiply
    298,491.30x = 448,082.55 × 180,296.10
  4. Step 4: Simplify right side
    298,491.30x = 80,787,536,243.06
  5. Step 5: Solve for x
    x = 80,787,536,243.06/298,491.30
  6. Step 6: Final answer
    x = 270,652.90

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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.