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Finding the Fourth Proportional to 355,440.80, 532,297.20 and 188,861.60

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Solution

The fourth proportional to 355,440.80, 532,297.20 and 188,861.60 is: 282,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,440.80 : 532,297.20 = 188,861.60 : x
  2. Step 2: Convert to fraction form
    355,440.80/532,297.20 = 188,861.60/x
  3. Step 3: Cross multiply
    355,440.80x = 532,297.20 × 188,861.60
  4. Step 4: Simplify right side
    355,440.80x = 100,530,500,867.52
  5. Step 5: Solve for x
    x = 100,530,500,867.52/355,440.80
  6. Step 6: Final answer
    x = 282,833.32

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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.