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Finding the Fourth Proportional to 376,141.20, 519,075.48 and 206,376.54

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Solution

The fourth proportional to 376,141.20, 519,075.48 and 206,376.54 is: 284,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,141.20 : 519,075.48 = 206,376.54 : x
  2. Step 2: Convert to fraction form
    376,141.20/519,075.48 = 206,376.54/x
  3. Step 3: Cross multiply
    376,141.20x = 519,075.48 × 206,376.54
  4. Step 4: Simplify right side
    376,141.20x = 107,125,001,561.24
  5. Step 5: Solve for x
    x = 107,125,001,561.24/376,141.20
  6. Step 6: Final answer
    x = 284,799.97

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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.