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Finding the Fourth Proportional to 397,111.68, 548,013.96 and 218,263.68

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Solution

The fourth proportional to 397,111.68, 548,013.96 and 218,263.68 is: 301,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,111.68 : 548,013.96 = 218,263.68 : x
  2. Step 2: Convert to fraction form
    397,111.68/548,013.96 = 218,263.68/x
  3. Step 3: Cross multiply
    397,111.68x = 548,013.96 × 218,263.68
  4. Step 4: Simplify right side
    397,111.68x = 119,611,543,600.97
  5. Step 5: Solve for x
    x = 119,611,543,600.97/397,111.68
  6. Step 6: Final answer
    x = 301,203.79

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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.