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Finding the Fourth Proportional to 293,894.89, 405,579.39 and 164,861.96

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Solution

The fourth proportional to 293,894.89, 405,579.39 and 164,861.96 is: 227,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,894.89 : 405,579.39 = 164,861.96 : x
  2. Step 2: Convert to fraction form
    293,894.89/405,579.39 = 164,861.96/x
  3. Step 3: Cross multiply
    293,894.89x = 405,579.39 × 164,861.96
  4. Step 4: Simplify right side
    293,894.89x = 66,864,614,184.95
  5. Step 5: Solve for x
    x = 66,864,614,184.95/293,894.89
  6. Step 6: Final answer
    x = 227,512.00

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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.