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Finding the Fourth Proportional to 440,164.82, 659,809.77 and 262,405.46

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Solution

The fourth proportional to 440,164.82, 659,809.77 and 262,405.46 is: 393,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,164.82 : 659,809.77 = 262,405.46 : x
  2. Step 2: Convert to fraction form
    440,164.82/659,809.77 = 262,405.46/x
  3. Step 3: Cross multiply
    440,164.82x = 659,809.77 × 262,405.46
  4. Step 4: Simplify right side
    440,164.82x = 173,137,682,910.30
  5. Step 5: Solve for x
    x = 173,137,682,910.30/440,164.82
  6. Step 6: Final answer
    x = 393,347.39

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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.