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Finding the Fourth Proportional to 491,382.84, 737,071.84 and 191,893.84

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Solution

The fourth proportional to 491,382.84, 737,071.84 and 191,893.84 is: 287,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,382.84 : 737,071.84 = 191,893.84 : x
  2. Step 2: Convert to fraction form
    491,382.84/737,071.84 = 191,893.84/x
  3. Step 3: Cross multiply
    491,382.84x = 737,071.84 × 191,893.84
  4. Step 4: Simplify right side
    491,382.84x = 141,439,545,733.47
  5. Step 5: Solve for x
    x = 141,439,545,733.47/491,382.84
  6. Step 6: Final answer
    x = 287,839.81

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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.