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Finding the Fourth Proportional to 432,299.80, 648,833.70 and 254,584.60

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Solution

The fourth proportional to 432,299.80, 648,833.70 and 254,584.60 is: 382,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,299.80 : 648,833.70 = 254,584.60 : x
  2. Step 2: Convert to fraction form
    432,299.80/648,833.70 = 254,584.60/x
  3. Step 3: Cross multiply
    432,299.80x = 648,833.70 × 254,584.60
  4. Step 4: Simplify right side
    432,299.80x = 165,183,067,981.02
  5. Step 5: Solve for x
    x = 165,183,067,981.02/432,299.80
  6. Step 6: Final answer
    x = 382,103.04

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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.