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Finding the Fourth Proportional to 343,863.80, 515,795.70 and 320,244.20

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Solution

The fourth proportional to 343,863.80, 515,795.70 and 320,244.20 is: 480,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,863.80 : 515,795.70 = 320,244.20 : x
  2. Step 2: Convert to fraction form
    343,863.80/515,795.70 = 320,244.20/x
  3. Step 3: Cross multiply
    343,863.80x = 515,795.70 × 320,244.20
  4. Step 4: Simplify right side
    343,863.80x = 165,180,581,309.94
  5. Step 5: Solve for x
    x = 165,180,581,309.94/343,863.80
  6. Step 6: Final answer
    x = 480,366.30

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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.