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Finding the Fourth Proportional to 333,614.60, 499,942.71 and 189,634.82

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Solution

The fourth proportional to 333,614.60, 499,942.71 and 189,634.82 is: 284,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,614.60 : 499,942.71 = 189,634.82 : x
  2. Step 2: Convert to fraction form
    333,614.60/499,942.71 = 189,634.82/x
  3. Step 3: Cross multiply
    333,614.60x = 499,942.71 × 189,634.82
  4. Step 4: Simplify right side
    333,614.60x = 94,806,543,321.45
  5. Step 5: Solve for x
    x = 94,806,543,321.45/333,614.60
  6. Step 6: Final answer
    x = 284,179.84

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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.