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Finding the Fourth Proportional to 422,518.50, 633,351.28 and 264,857.67

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Solution

The fourth proportional to 422,518.50, 633,351.28 and 264,857.67 is: 397,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,518.50 : 633,351.28 = 264,857.67 : x
  2. Step 2: Convert to fraction form
    422,518.50/633,351.28 = 264,857.67/x
  3. Step 3: Cross multiply
    422,518.50x = 633,351.28 × 264,857.67
  4. Step 4: Simplify right side
    422,518.50x = 167,747,944,312.32
  5. Step 5: Solve for x
    x = 167,747,944,312.32/422,518.50
  6. Step 6: Final answer
    x = 397,019.17

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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.