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Finding the Fourth Proportional to 493,099.92, 739,207.62 and 177,336

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Solution

The fourth proportional to 493,099.92, 739,207.62 and 177,336 is: 265,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,099.92 : 739,207.62 = 177,336 : x
  2. Step 2: Convert to fraction form
    493,099.92/739,207.62 = 177,336/x
  3. Step 3: Cross multiply
    493,099.92x = 739,207.62 × 177,336
  4. Step 4: Simplify right side
    493,099.92x = 131,088,122,500.32
  5. Step 5: Solve for x
    x = 131,088,122,500.32/493,099.92
  6. Step 6: Final answer
    x = 265,844.95

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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.