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Finding the Fourth Proportional to 378,157.88, 521,851.20 and 206,077.40

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Solution

The fourth proportional to 378,157.88, 521,851.20 and 206,077.40 is: 284,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,157.88 : 521,851.20 = 206,077.40 : x
  2. Step 2: Convert to fraction form
    378,157.88/521,851.20 = 206,077.40/x
  3. Step 3: Cross multiply
    378,157.88x = 521,851.20 × 206,077.40
  4. Step 4: Simplify right side
    378,157.88x = 107,541,738,482.88
  5. Step 5: Solve for x
    x = 107,541,738,482.88/378,157.88
  6. Step 6: Final answer
    x = 284,383.17

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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.