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Finding the Fourth Proportional to 380,201.88, 524,695.14 and 210,435.96

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Solution

The fourth proportional to 380,201.88, 524,695.14 and 210,435.96 is: 290,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,201.88 : 524,695.14 = 210,435.96 : x
  2. Step 2: Convert to fraction form
    380,201.88/524,695.14 = 210,435.96/x
  3. Step 3: Cross multiply
    380,201.88x = 524,695.14 × 210,435.96
  4. Step 4: Simplify right side
    380,201.88x = 110,414,725,493.23
  5. Step 5: Solve for x
    x = 110,414,725,493.23/380,201.88
  6. Step 6: Final answer
    x = 290,410.78

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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.