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Finding the Fourth Proportional to 343,235.20, 514,998.60 and 165,650.80

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Solution

The fourth proportional to 343,235.20, 514,998.60 and 165,650.80 is: 248,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,235.20 : 514,998.60 = 165,650.80 : x
  2. Step 2: Convert to fraction form
    343,235.20/514,998.60 = 165,650.80/x
  3. Step 3: Cross multiply
    343,235.20x = 514,998.60 × 165,650.80
  4. Step 4: Simplify right side
    343,235.20x = 85,309,930,088.88
  5. Step 5: Solve for x
    x = 85,309,930,088.88/343,235.20
  6. Step 6: Final answer
    x = 248,546.57

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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.