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Finding the Fourth Proportional to 493,097.92, 739,204.62 and 177,334

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Solution

The fourth proportional to 493,097.92, 739,204.62 and 177,334 is: 265,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,097.92 : 739,204.62 = 177,334 : x
  2. Step 2: Convert to fraction form
    493,097.92/739,204.62 = 177,334/x
  3. Step 3: Cross multiply
    493,097.92x = 739,204.62 × 177,334
  4. Step 4: Simplify right side
    493,097.92x = 131,086,112,083.08
  5. Step 5: Solve for x
    x = 131,086,112,083.08/493,097.92
  6. Step 6: Final answer
    x = 265,841.95

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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.