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Finding the Fourth Proportional to 485,321.80, 727,982.70 and 343,604.20

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Solution

The fourth proportional to 485,321.80, 727,982.70 and 343,604.20 is: 515,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,321.80 : 727,982.70 = 343,604.20 : x
  2. Step 2: Convert to fraction form
    485,321.80/727,982.70 = 343,604.20/x
  3. Step 3: Cross multiply
    485,321.80x = 727,982.70 × 343,604.20
  4. Step 4: Simplify right side
    485,321.80x = 250,137,913,247.34
  5. Step 5: Solve for x
    x = 250,137,913,247.34/485,321.80
  6. Step 6: Final answer
    x = 515,406.30

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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.