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Finding the Fourth Proportional to 262,456.80, 393,685.20 and 258,082.80

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Solution

The fourth proportional to 262,456.80, 393,685.20 and 258,082.80 is: 387,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,456.80 : 393,685.20 = 258,082.80 : x
  2. Step 2: Convert to fraction form
    262,456.80/393,685.20 = 258,082.80/x
  3. Step 3: Cross multiply
    262,456.80x = 393,685.20 × 258,082.80
  4. Step 4: Simplify right side
    262,456.80x = 101,603,378,734.56
  5. Step 5: Solve for x
    x = 101,603,378,734.56/262,456.80
  6. Step 6: Final answer
    x = 387,124.20

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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.