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Finding the Fourth Proportional to 413,100.23, 619,224.06 and 173,353.39

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Solution

The fourth proportional to 413,100.23, 619,224.06 and 173,353.39 is: 259,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,100.23 : 619,224.06 = 173,353.39 : x
  2. Step 2: Convert to fraction form
    413,100.23/619,224.06 = 173,353.39/x
  3. Step 3: Cross multiply
    413,100.23x = 619,224.06 × 173,353.39
  4. Step 4: Simplify right side
    413,100.23x = 107,344,589,970.56
  5. Step 5: Solve for x
    x = 107,344,589,970.56/413,100.23
  6. Step 6: Final answer
    x = 259,851.20

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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.