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Finding the Fourth Proportional to 442,993.20, 664,489.80 and 265,408.80

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Solution

The fourth proportional to 442,993.20, 664,489.80 and 265,408.80 is: 398,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.20 : 664,489.80 = 265,408.80 : x
  2. Step 2: Convert to fraction form
    442,993.20/664,489.80 = 265,408.80/x
  3. Step 3: Cross multiply
    442,993.20x = 664,489.80 × 265,408.80
  4. Step 4: Simplify right side
    442,993.20x = 176,361,440,430.24
  5. Step 5: Solve for x
    x = 176,361,440,430.24/442,993.20
  6. Step 6: Final answer
    x = 398,113.20

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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.