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Finding the Fourth Proportional to 323,082.72, 484,723.26 and 165,421.86

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Solution

The fourth proportional to 323,082.72, 484,723.26 and 165,421.86 is: 248,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,082.72 : 484,723.26 = 165,421.86 : x
  2. Step 2: Convert to fraction form
    323,082.72/484,723.26 = 165,421.86/x
  3. Step 3: Cross multiply
    323,082.72x = 484,723.26 × 165,421.86
  4. Step 4: Simplify right side
    323,082.72x = 80,183,823,254.46
  5. Step 5: Solve for x
    x = 80,183,823,254.46/323,082.72
  6. Step 6: Final answer
    x = 248,183.57

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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.