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Finding the Fourth Proportional to 458,912.91, 633,390.48 and 293,234.97

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Solution

The fourth proportional to 458,912.91, 633,390.48 and 293,234.97 is: 404,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,912.91 : 633,390.48 = 293,234.97 : x
  2. Step 2: Convert to fraction form
    458,912.91/633,390.48 = 293,234.97/x
  3. Step 3: Cross multiply
    458,912.91x = 633,390.48 × 293,234.97
  4. Step 4: Simplify right side
    458,912.91x = 185,732,238,401.09
  5. Step 5: Solve for x
    x = 185,732,238,401.09/458,912.91
  6. Step 6: Final answer
    x = 404,722.19

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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.