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Finding the Fourth Proportional to 380,273.31, 524,777.32 and 208,202.43

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Solution

The fourth proportional to 380,273.31, 524,777.32 and 208,202.43 is: 287,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,273.31 : 524,777.32 = 208,202.43 : x
  2. Step 2: Convert to fraction form
    380,273.31/524,777.32 = 208,202.43/x
  3. Step 3: Cross multiply
    380,273.31x = 524,777.32 × 208,202.43
  4. Step 4: Simplify right side
    380,273.31x = 109,259,910,609.00
  5. Step 5: Solve for x
    x = 109,259,910,609.00/380,273.31
  6. Step 6: Final answer
    x = 287,319.43

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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.