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Finding the Fourth Proportional to 408,323.91, 612,610.20 and 208,784.46

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Solution

The fourth proportional to 408,323.91, 612,610.20 and 208,784.46 is: 313,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,323.91 : 612,610.20 = 208,784.46 : x
  2. Step 2: Convert to fraction form
    408,323.91/612,610.20 = 208,784.46/x
  3. Step 3: Cross multiply
    408,323.91x = 612,610.20 × 208,784.46
  4. Step 4: Simplify right side
    408,323.91x = 127,903,489,797.49
  5. Step 5: Solve for x
    x = 127,903,489,797.49/408,323.91
  6. Step 6: Final answer
    x = 313,240.27

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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.