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Finding the Fourth Proportional to 358,163.12, 494,301.32 and 205,221.60

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Solution

The fourth proportional to 358,163.12, 494,301.32 and 205,221.60 is: 283,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,163.12 : 494,301.32 = 205,221.60 : x
  2. Step 2: Convert to fraction form
    358,163.12/494,301.32 = 205,221.60/x
  3. Step 3: Cross multiply
    358,163.12x = 494,301.32 × 205,221.60
  4. Step 4: Simplify right side
    358,163.12x = 101,441,307,772.51
  5. Step 5: Solve for x
    x = 101,441,307,772.51/358,163.12
  6. Step 6: Final answer
    x = 283,226.56

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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.