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Finding the Fourth Proportional to 293,696.96, 440,096.90 and 218,453.22

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Solution

The fourth proportional to 293,696.96, 440,096.90 and 218,453.22 is: 327,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,696.96 : 440,096.90 = 218,453.22 : x
  2. Step 2: Convert to fraction form
    293,696.96/440,096.90 = 218,453.22/x
  3. Step 3: Cross multiply
    293,696.96x = 440,096.90 × 218,453.22
  4. Step 4: Simplify right side
    293,696.96x = 96,140,583,824.75
  5. Step 5: Solve for x
    x = 96,140,583,824.75/293,696.96
  6. Step 6: Final answer
    x = 327,346.21

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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.