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Finding the Fourth Proportional to 442,604.80, 664,101.60 and 205,825.60

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Solution

The fourth proportional to 442,604.80, 664,101.60 and 205,825.60 is: 308,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,604.80 : 664,101.60 = 205,825.60 : x
  2. Step 2: Convert to fraction form
    442,604.80/664,101.60 = 205,825.60/x
  3. Step 3: Cross multiply
    442,604.80x = 664,101.60 × 205,825.60
  4. Step 4: Simplify right side
    442,604.80x = 136,689,110,280.96
  5. Step 5: Solve for x
    x = 136,689,110,280.96/442,604.80
  6. Step 6: Final answer
    x = 308,828.80

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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.