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Finding the Fourth Proportional to 599,838.12, 827,449.02 and 384,738.84

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Solution

The fourth proportional to 599,838.12, 827,449.02 and 384,738.84 is: 530,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,838.12 : 827,449.02 = 384,738.84 : x
  2. Step 2: Convert to fraction form
    599,838.12/827,449.02 = 384,738.84/x
  3. Step 3: Cross multiply
    599,838.12x = 827,449.02 × 384,738.84
  4. Step 4: Simplify right side
    599,838.12x = 318,351,776,113.94
  5. Step 5: Solve for x
    x = 318,351,776,113.94/599,838.12
  6. Step 6: Final answer
    x = 530,729.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.