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Finding the Fourth Proportional to 376,116.89, 519,050.43 and 206,351.01

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Solution

The fourth proportional to 376,116.89, 519,050.43 and 206,351.01 is: 284,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,116.89 : 519,050.43 = 206,351.01 : x
  2. Step 2: Convert to fraction form
    376,116.89/519,050.43 = 206,351.01/x
  3. Step 3: Cross multiply
    376,116.89x = 519,050.43 × 206,351.01
  4. Step 4: Simplify right side
    376,116.89x = 107,106,580,471.43
  5. Step 5: Solve for x
    x = 107,106,580,471.43/376,116.89
  6. Step 6: Final answer
    x = 284,769.40

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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.