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Finding the Fourth Proportional to 653,650.70, 980,532.57 and 180,336.06

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Solution

The fourth proportional to 653,650.70, 980,532.57 and 180,336.06 is: 270,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,650.70 : 980,532.57 = 180,336.06 : x
  2. Step 2: Convert to fraction form
    653,650.70/980,532.57 = 180,336.06/x
  3. Step 3: Cross multiply
    653,650.70x = 980,532.57 × 180,336.06
  4. Step 4: Simplify right side
    653,650.70x = 176,825,380,375.47
  5. Step 5: Solve for x
    x = 176,825,380,375.47/653,650.70
  6. Step 6: Final answer
    x = 270,519.68

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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.