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Finding the Fourth Proportional to 408,107.27, 612,224.28 and 208,319.55

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Solution

The fourth proportional to 408,107.27, 612,224.28 and 208,319.55 is: 312,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.27 : 612,224.28 = 208,319.55 : x
  2. Step 2: Convert to fraction form
    408,107.27/612,224.28 = 208,319.55/x
  3. Step 3: Cross multiply
    408,107.27x = 612,224.28 × 208,319.55
  4. Step 4: Simplify right side
    408,107.27x = 127,538,286,508.67
  5. Step 5: Solve for x
    x = 127,538,286,508.67/408,107.27
  6. Step 6: Final answer
    x = 312,511.67

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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.