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Finding the Fourth Proportional to 422,509.77, 633,819.74 and 222,837.48

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Solution

The fourth proportional to 422,509.77, 633,819.74 and 222,837.48 is: 334,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,509.77 : 633,819.74 = 222,837.48 : x
  2. Step 2: Convert to fraction form
    422,509.77/633,819.74 = 222,837.48/x
  3. Step 3: Cross multiply
    422,509.77x = 633,819.74 × 222,837.48
  4. Step 4: Simplify right side
    422,509.77x = 141,238,792,521.67
  5. Step 5: Solve for x
    x = 141,238,792,521.67/422,509.77
  6. Step 6: Final answer
    x = 334,285.27

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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.