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Finding the Fourth Proportional to 296,451.65, 409,102.80 and 160,485.56

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Solution

The fourth proportional to 296,451.65, 409,102.80 and 160,485.56 is: 221,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,451.65 : 409,102.80 = 160,485.56 : x
  2. Step 2: Convert to fraction form
    296,451.65/409,102.80 = 160,485.56/x
  3. Step 3: Cross multiply
    296,451.65x = 409,102.80 × 160,485.56
  4. Step 4: Simplify right side
    296,451.65x = 65,655,089,910.05
  5. Step 5: Solve for x
    x = 65,655,089,910.05/296,451.65
  6. Step 6: Final answer
    x = 221,469.81

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