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Finding the Fourth Proportional to 513,241.50, 769,846.31 and 213,714.54

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Solution

The fourth proportional to 513,241.50, 769,846.31 and 213,714.54 is: 320,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,241.50 : 769,846.31 = 213,714.54 : x
  2. Step 2: Convert to fraction form
    513,241.50/769,846.31 = 213,714.54/x
  3. Step 3: Cross multiply
    513,241.50x = 769,846.31 × 213,714.54
  4. Step 4: Simplify right side
    513,241.50x = 164,527,349,745.20
  5. Step 5: Solve for x
    x = 164,527,349,745.20/513,241.50
  6. Step 6: Final answer
    x = 320,565.17

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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.