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Finding the Fourth Proportional to 279,506.24, 419,214.72 and 92,493.44

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Solution

The fourth proportional to 279,506.24, 419,214.72 and 92,493.44 is: 138,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,506.24 : 419,214.72 = 92,493.44 : x
  2. Step 2: Convert to fraction form
    279,506.24/419,214.72 = 92,493.44/x
  3. Step 3: Cross multiply
    279,506.24x = 419,214.72 × 92,493.44
  4. Step 4: Simplify right side
    279,506.24x = 38,774,611,551.44
  5. Step 5: Solve for x
    x = 38,774,611,551.44/279,506.24
  6. Step 6: Final answer
    x = 138,725.39

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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.