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Finding the Fourth Proportional to 376,471.84, 519,539.52 and 206,706.64

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Solution

The fourth proportional to 376,471.84, 519,539.52 and 206,706.64 is: 285,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,471.84 : 519,539.52 = 206,706.64 : x
  2. Step 2: Convert to fraction form
    376,471.84/519,539.52 = 206,706.64/x
  3. Step 3: Cross multiply
    376,471.84x = 519,539.52 × 206,706.64
  4. Step 4: Simplify right side
    376,471.84x = 107,392,268,526.41
  5. Step 5: Solve for x
    x = 107,392,268,526.41/376,471.84
  6. Step 6: Final answer
    x = 285,259.76

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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.