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Finding the Fourth Proportional to 499,872.40, 749,225.40 and 200,204.80

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Solution

The fourth proportional to 499,872.40, 749,225.40 and 200,204.80 is: 300,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,872.40 : 749,225.40 = 200,204.80 : x
  2. Step 2: Convert to fraction form
    499,872.40/749,225.40 = 200,204.80/x
  3. Step 3: Cross multiply
    499,872.40x = 749,225.40 × 200,204.80
  4. Step 4: Simplify right side
    499,872.40x = 149,998,521,361.92
  5. Step 5: Solve for x
    x = 149,998,521,361.92/499,872.40
  6. Step 6: Final answer
    x = 300,073.62

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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.