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Finding the Fourth Proportional to 257,082.96, 384,953.76 and 206,888.88

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Solution

The fourth proportional to 257,082.96, 384,953.76 and 206,888.88 is: 309,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082.96 : 384,953.76 = 206,888.88 : x
  2. Step 2: Convert to fraction form
    257,082.96/384,953.76 = 206,888.88/x
  3. Step 3: Cross multiply
    257,082.96x = 384,953.76 × 206,888.88
  4. Step 4: Simplify right side
    257,082.96x = 79,642,652,258.19
  5. Step 5: Solve for x
    x = 79,642,652,258.19/257,082.96
  6. Step 6: Final answer
    x = 309,793.59

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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.