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Finding the Fourth Proportional to 289,568.76, 399,469.50 and 192,821.28

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Solution

The fourth proportional to 289,568.76, 399,469.50 and 192,821.28 is: 266,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,568.76 : 399,469.50 = 192,821.28 : x
  2. Step 2: Convert to fraction form
    289,568.76/399,469.50 = 192,821.28/x
  3. Step 3: Cross multiply
    289,568.76x = 399,469.50 × 192,821.28
  4. Step 4: Simplify right side
    289,568.76x = 77,026,220,310.96
  5. Step 5: Solve for x
    x = 77,026,220,310.96/289,568.76
  6. Step 6: Final answer
    x = 266,003.21

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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.