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Finding the Fourth Proportional to 494,049.36, 681,822.72 and 279,209.28

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Solution

The fourth proportional to 494,049.36, 681,822.72 and 279,209.28 is: 385,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,049.36 : 681,822.72 = 279,209.28 : x
  2. Step 2: Convert to fraction form
    494,049.36/681,822.72 = 279,209.28/x
  3. Step 3: Cross multiply
    494,049.36x = 681,822.72 × 279,209.28
  4. Step 4: Simplify right side
    494,049.36x = 190,371,230,738.84
  5. Step 5: Solve for x
    x = 190,371,230,738.84/494,049.36
  6. Step 6: Final answer
    x = 385,328.36

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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.