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Finding the Fourth Proportional to 534,197.40, 800,129.70 and 323,467.80

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Solution

The fourth proportional to 534,197.40, 800,129.70 and 323,467.80 is: 484,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,197.40 : 800,129.70 = 323,467.80 : x
  2. Step 2: Convert to fraction form
    534,197.40/800,129.70 = 323,467.80/x
  3. Step 3: Cross multiply
    534,197.40x = 800,129.70 × 323,467.80
  4. Step 4: Simplify right side
    534,197.40x = 258,816,193,773.66
  5. Step 5: Solve for x
    x = 258,816,193,773.66/534,197.40
  6. Step 6: Final answer
    x = 484,495.42

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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.