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Finding the Fourth Proportional to 619,175.28, 854,412.09 and 343,542

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Solution

The fourth proportional to 619,175.28, 854,412.09 and 343,542 is: 474,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,175.28 : 854,412.09 = 343,542 : x
  2. Step 2: Convert to fraction form
    619,175.28/854,412.09 = 343,542/x
  3. Step 3: Cross multiply
    619,175.28x = 854,412.09 × 343,542
  4. Step 4: Simplify right side
    619,175.28x = 293,526,438,222.78
  5. Step 5: Solve for x
    x = 293,526,438,222.78/619,175.28
  6. Step 6: Final answer
    x = 474,060.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.