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Finding the Fourth Proportional to 491,724.41, 737,717.86 and 176,213.21

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Solution

The fourth proportional to 491,724.41, 737,717.86 and 176,213.21 is: 264,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,724.41 : 737,717.86 = 176,213.21 : x
  2. Step 2: Convert to fraction form
    491,724.41/737,717.86 = 176,213.21/x
  3. Step 3: Cross multiply
    491,724.41x = 737,717.86 × 176,213.21
  4. Step 4: Simplify right side
    491,724.41x = 129,995,628,716.61
  5. Step 5: Solve for x
    x = 129,995,628,716.61/491,724.41
  6. Step 6: Final answer
    x = 264,366.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.