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Finding the Fourth Proportional to 413,421.37, 619,049.49 and 270,818.03

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Solution

The fourth proportional to 413,421.37, 619,049.49 and 270,818.03 is: 405,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,421.37 : 619,049.49 = 270,818.03 : x
  2. Step 2: Convert to fraction form
    413,421.37/619,049.49 = 270,818.03/x
  3. Step 3: Cross multiply
    413,421.37x = 619,049.49 × 270,818.03
  4. Step 4: Simplify right side
    413,421.37x = 167,649,763,886.36
  5. Step 5: Solve for x
    x = 167,649,763,886.36/413,421.37
  6. Step 6: Final answer
    x = 405,517.90

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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.