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Finding the Fourth Proportional to 680,594.76, 1,021,305.24 and 254,440.80

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Solution

The fourth proportional to 680,594.76, 1,021,305.24 and 254,440.80 is: 381,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,594.76 : 1,021,305.24 = 254,440.80 : x
  2. Step 2: Convert to fraction form
    680,594.76/1,021,305.24 = 254,440.80/x
  3. Step 3: Cross multiply
    680,594.76x = 1,021,305.24 × 254,440.80
  4. Step 4: Simplify right side
    680,594.76x = 259,861,722,309.79
  5. Step 5: Solve for x
    x = 259,861,722,309.79/680,594.76
  6. Step 6: Final answer
    x = 381,815.64

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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.