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Finding the Fourth Proportional to 422,521.50, 633,355.78 and 264,860.66

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Solution

The fourth proportional to 422,521.50, 633,355.78 and 264,860.66 is: 397,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,521.50 : 633,355.78 = 264,860.66 : x
  2. Step 2: Convert to fraction form
    422,521.50/633,355.78 = 264,860.66/x
  3. Step 3: Cross multiply
    422,521.50x = 633,355.78 × 264,860.66
  4. Step 4: Simplify right side
    422,521.50x = 167,751,029,905.62
  5. Step 5: Solve for x
    x = 167,751,029,905.62/422,521.50
  6. Step 6: Final answer
    x = 397,023.65

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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.