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Finding the Fourth Proportional to 414,971.43, 572,670.33 and 231,222.42

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Solution

The fourth proportional to 414,971.43, 572,670.33 and 231,222.42 is: 319,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,971.43 : 572,670.33 = 231,222.42 : x
  2. Step 2: Convert to fraction form
    414,971.43/572,670.33 = 231,222.42/x
  3. Step 3: Cross multiply
    414,971.43x = 572,670.33 × 231,222.42
  4. Step 4: Simplify right side
    414,971.43x = 132,414,219,564.80
  5. Step 5: Solve for x
    x = 132,414,219,564.80/414,971.43
  6. Step 6: Final answer
    x = 319,092.38

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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.