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Finding the Fourth Proportional to 309,234.92, 463,064.85 and 203,734.04

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Solution

The fourth proportional to 309,234.92, 463,064.85 and 203,734.04 is: 305,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,234.92 : 463,064.85 = 203,734.04 : x
  2. Step 2: Convert to fraction form
    309,234.92/463,064.85 = 203,734.04/x
  3. Step 3: Cross multiply
    309,234.92x = 463,064.85 × 203,734.04
  4. Step 4: Simplify right side
    309,234.92x = 94,342,070,357.17
  5. Step 5: Solve for x
    x = 94,342,070,357.17/309,234.92
  6. Step 6: Final answer
    x = 305,082.21

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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.