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Finding the Fourth Proportional to 408,107.20, 612,224.19 and 208,319.49

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Solution

The fourth proportional to 408,107.20, 612,224.19 and 208,319.49 is: 312,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.20 : 612,224.19 = 208,319.49 : x
  2. Step 2: Convert to fraction form
    408,107.20/612,224.19 = 208,319.49/x
  3. Step 3: Cross multiply
    408,107.20x = 612,224.19 × 208,319.49
  4. Step 4: Simplify right side
    408,107.20x = 127,538,228,714.71
  5. Step 5: Solve for x
    x = 127,538,228,714.71/408,107.20
  6. Step 6: Final answer
    x = 312,511.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.