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Finding the Fourth Proportional to 376,117.31, 519,051.00 and 206,351.44

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Solution

The fourth proportional to 376,117.31, 519,051.00 and 206,351.44 is: 284,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,117.31 : 519,051.00 = 206,351.44 : x
  2. Step 2: Convert to fraction form
    376,117.31/519,051.00 = 206,351.44/x
  3. Step 3: Cross multiply
    376,117.31x = 519,051.00 × 206,351.44
  4. Step 4: Simplify right side
    376,117.31x = 107,106,920,759.63
  5. Step 5: Solve for x
    x = 107,106,920,759.63/376,117.31
  6. Step 6: Final answer
    x = 284,769.98

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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.