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Finding the Fourth Proportional to 513,644.90, 770,609.10 and 214,266.20

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Solution

The fourth proportional to 513,644.90, 770,609.10 and 214,266.20 is: 321,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,644.90 : 770,609.10 = 214,266.20 : x
  2. Step 2: Convert to fraction form
    513,644.90/770,609.10 = 214,266.20/x
  3. Step 3: Cross multiply
    513,644.90x = 770,609.10 × 214,266.20
  4. Step 4: Simplify right side
    513,644.90x = 165,115,483,542.42
  5. Step 5: Solve for x
    x = 165,115,483,542.42/513,644.90
  6. Step 6: Final answer
    x = 321,458.43

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1.5x scale

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.