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Finding the Fourth Proportional to 376,042.50, 518,938.65 and 206,277.03

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Solution

The fourth proportional to 376,042.50, 518,938.65 and 206,277.03 is: 284,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,042.50 : 518,938.65 = 206,277.03 : x
  2. Step 2: Convert to fraction form
    376,042.50/518,938.65 = 206,277.03/x
  3. Step 3: Cross multiply
    376,042.50x = 518,938.65 × 206,277.03
  4. Step 4: Simplify right side
    376,042.50x = 107,045,123,474.21
  5. Step 5: Solve for x
    x = 107,045,123,474.21/376,042.50
  6. Step 6: Final answer
    x = 284,662.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.