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Finding the Fourth Proportional to 433,143.54, 649,279 and 180,563.76

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Solution

The fourth proportional to 433,143.54, 649,279 and 180,563.76 is: 270,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,143.54 : 649,279 = 180,563.76 : x
  2. Step 2: Convert to fraction form
    433,143.54/649,279 = 180,563.76/x
  3. Step 3: Cross multiply
    433,143.54x = 649,279 × 180,563.76
  4. Step 4: Simplify right side
    433,143.54x = 117,236,257,529.04
  5. Step 5: Solve for x
    x = 117,236,257,529.04/433,143.54
  6. Step 6: Final answer
    x = 270,663.76

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1.5x scale

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.