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Finding the Fourth Proportional to 490,671.60, 677,198.52 and 275,829.36

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Solution

The fourth proportional to 490,671.60, 677,198.52 and 275,829.36 is: 380,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,671.60 : 677,198.52 = 275,829.36 : x
  2. Step 2: Convert to fraction form
    490,671.60/677,198.52 = 275,829.36/x
  3. Step 3: Cross multiply
    490,671.60x = 677,198.52 × 275,829.36
  4. Step 4: Simplify right side
    490,671.60x = 186,791,234,364.55
  5. Step 5: Solve for x
    x = 186,791,234,364.55/490,671.60
  6. Step 6: Final answer
    x = 380,684.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.