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Finding the Fourth Proportional to 378,057.96, 521,731.80 and 216,942.48

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Solution

The fourth proportional to 378,057.96, 521,731.80 and 216,942.48 is: 299,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,057.96 : 521,731.80 = 216,942.48 : x
  2. Step 2: Convert to fraction form
    378,057.96/521,731.80 = 216,942.48/x
  3. Step 3: Cross multiply
    378,057.96x = 521,731.80 × 216,942.48
  4. Step 4: Simplify right side
    378,057.96x = 113,185,790,586.86
  5. Step 5: Solve for x
    x = 113,185,790,586.86/378,057.96
  6. Step 6: Final answer
    x = 299,387.40

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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.