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Finding the Fourth Proportional to 499,405.80, 749,108.70 and 200,029.80

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Solution

The fourth proportional to 499,405.80, 749,108.70 and 200,029.80 is: 300,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,405.80 : 749,108.70 = 200,029.80 : x
  2. Step 2: Convert to fraction form
    499,405.80/749,108.70 = 200,029.80/x
  3. Step 3: Cross multiply
    499,405.80x = 749,108.70 × 200,029.80
  4. Step 4: Simplify right side
    499,405.80x = 149,844,063,439.26
  5. Step 5: Solve for x
    x = 149,844,063,439.26/499,405.80
  6. Step 6: Final answer
    x = 300,044.70

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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.