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Finding the Fourth Proportional to 493,082.92, 739,182.12 and 177,319

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Solution

The fourth proportional to 493,082.92, 739,182.12 and 177,319 is: 265,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,082.92 : 739,182.12 = 177,319 : x
  2. Step 2: Convert to fraction form
    493,082.92/739,182.12 = 177,319/x
  3. Step 3: Cross multiply
    493,082.92x = 739,182.12 × 177,319
  4. Step 4: Simplify right side
    493,082.92x = 131,071,034,336.28
  5. Step 5: Solve for x
    x = 131,071,034,336.28/493,082.92
  6. Step 6: Final answer
    x = 265,819.46

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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.