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Finding the Fourth Proportional to 422,535.12, 633,376.20 and 264,874.29

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Solution

The fourth proportional to 422,535.12, 633,376.20 and 264,874.29 is: 397,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,535.12 : 633,376.20 = 264,874.29 : x
  2. Step 2: Convert to fraction form
    422,535.12/633,376.20 = 264,874.29/x
  3. Step 3: Cross multiply
    422,535.12x = 633,376.20 × 264,874.29
  4. Step 4: Simplify right side
    422,535.12x = 167,765,071,277.90
  5. Step 5: Solve for x
    x = 167,765,071,277.90/422,535.12
  6. Step 6: Final answer
    x = 397,044.09

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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.