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Finding the Fourth Proportional to 413,214, 619,762.80 and 132,694.80

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Solution

The fourth proportional to 413,214, 619,762.80 and 132,694.80 is: 199,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,214 : 619,762.80 = 132,694.80 : x
  2. Step 2: Convert to fraction form
    413,214/619,762.80 = 132,694.80/x
  3. Step 3: Cross multiply
    413,214x = 619,762.80 × 132,694.80
  4. Step 4: Simplify right side
    413,214x = 82,239,300,793.44
  5. Step 5: Solve for x
    x = 82,239,300,793.44/413,214
  6. Step 6: Final answer
    x = 199,023.51

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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.