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Finding the Fourth Proportional to 356,074.84, 491,382.46 and 194,928.48

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Solution

The fourth proportional to 356,074.84, 491,382.46 and 194,928.48 is: 269,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,074.84 : 491,382.46 = 194,928.48 : x
  2. Step 2: Convert to fraction form
    356,074.84/491,382.46 = 194,928.48/x
  3. Step 3: Cross multiply
    356,074.84x = 491,382.46 × 194,928.48
  4. Step 4: Simplify right side
    356,074.84x = 95,784,436,026.46
  5. Step 5: Solve for x
    x = 95,784,436,026.46/356,074.84
  6. Step 6: Final answer
    x = 269,000.85

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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.