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Finding the Fourth Proportional to 329,543.64, 493,615.50 and 222,993

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Solution

The fourth proportional to 329,543.64, 493,615.50 and 222,993 is: 334,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,543.64 : 493,615.50 = 222,993 : x
  2. Step 2: Convert to fraction form
    329,543.64/493,615.50 = 222,993/x
  3. Step 3: Cross multiply
    329,543.64x = 493,615.50 × 222,993
  4. Step 4: Simplify right side
    329,543.64x = 110,072,801,191.50
  5. Step 5: Solve for x
    x = 110,072,801,191.50/329,543.64
  6. Step 6: Final answer
    x = 334,015.86

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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.