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Finding the Fourth Proportional to 442,992.40, 665,144.70 and 343,265.20

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Solution

The fourth proportional to 442,992.40, 665,144.70 and 343,265.20 is: 515,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,992.40 : 665,144.70 = 343,265.20 : x
  2. Step 2: Convert to fraction form
    442,992.40/665,144.70 = 343,265.20/x
  3. Step 3: Cross multiply
    442,992.40x = 665,144.70 × 343,265.20
  4. Step 4: Simplify right side
    442,992.40x = 228,321,028,474.44
  5. Step 5: Solve for x
    x = 228,321,028,474.44/442,992.40
  6. Step 6: Final answer
    x = 515,406.20

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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.