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Finding the Fourth Proportional to 493,657.82, 740,486.83 and 178,114.62

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Solution

The fourth proportional to 493,657.82, 740,486.83 and 178,114.62 is: 267,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,657.82 : 740,486.83 = 178,114.62 : x
  2. Step 2: Convert to fraction form
    493,657.82/740,486.83 = 178,114.62/x
  3. Step 3: Cross multiply
    493,657.82x = 740,486.83 × 178,114.62
  4. Step 4: Simplify right side
    493,657.82x = 131,891,530,340.46
  5. Step 5: Solve for x
    x = 131,891,530,340.46/493,657.82
  6. Step 6: Final answer
    x = 267,171.97

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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.