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Finding the Fourth Proportional to 355,311.80, 533,259.30 and 343,647.80

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Solution

The fourth proportional to 355,311.80, 533,259.30 and 343,647.80 is: 515,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,311.80 : 533,259.30 = 343,647.80 : x
  2. Step 2: Convert to fraction form
    355,311.80/533,259.30 = 343,647.80/x
  3. Step 3: Cross multiply
    355,311.80x = 533,259.30 × 343,647.80
  4. Step 4: Simplify right side
    355,311.80x = 183,253,385,274.54
  5. Step 5: Solve for x
    x = 183,253,385,274.54/355,311.80
  6. Step 6: Final answer
    x = 515,753.73

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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.