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Finding the Fourth Proportional to 729,023.90, 1,093,863.90 and 256,048.70

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Solution

The fourth proportional to 729,023.90, 1,093,863.90 and 256,048.70 is: 384,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,023.90 : 1,093,863.90 = 256,048.70 : x
  2. Step 2: Convert to fraction form
    729,023.90/1,093,863.90 = 256,048.70/x
  3. Step 3: Cross multiply
    729,023.90x = 1,093,863.90 × 256,048.70
  4. Step 4: Simplify right side
    729,023.90x = 280,082,429,571.93
  5. Step 5: Solve for x
    x = 280,082,429,571.93/729,023.90
  6. Step 6: Final answer
    x = 384,188.27

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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.