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Finding the Fourth Proportional to 329,542.64, 493,614 and 222,992

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Solution

The fourth proportional to 329,542.64, 493,614 and 222,992 is: 334,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,542.64 : 493,614 = 222,992 : x
  2. Step 2: Convert to fraction form
    329,542.64/493,614 = 222,992/x
  3. Step 3: Cross multiply
    329,542.64x = 493,614 × 222,992
  4. Step 4: Simplify right side
    329,542.64x = 110,071,973,088
  5. Step 5: Solve for x
    x = 110,071,973,088/329,542.64
  6. Step 6: Final answer
    x = 334,014.36

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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.