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Finding the Fourth Proportional to 305,493.81, 458,092.76 and 179,175.42

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Solution

The fourth proportional to 305,493.81, 458,092.76 and 179,175.42 is: 268,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,493.81 : 458,092.76 = 179,175.42 : x
  2. Step 2: Convert to fraction form
    305,493.81/458,092.76 = 179,175.42/x
  3. Step 3: Cross multiply
    305,493.81x = 458,092.76 × 179,175.42
  4. Step 4: Simplify right side
    305,493.81x = 82,078,961,776.08
  5. Step 5: Solve for x
    x = 82,078,961,776.08/305,493.81
  6. Step 6: Final answer
    x = 268,676.35

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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.