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Finding the Fourth Proportional to 294,687.46, 406,977.49 and 203,045.05

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Solution

The fourth proportional to 294,687.46, 406,977.49 and 203,045.05 is: 280,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,687.46 : 406,977.49 = 203,045.05 : x
  2. Step 2: Convert to fraction form
    294,687.46/406,977.49 = 203,045.05/x
  3. Step 3: Cross multiply
    294,687.46x = 406,977.49 × 203,045.05
  4. Step 4: Simplify right side
    294,687.46x = 82,634,764,805.92
  5. Step 5: Solve for x
    x = 82,634,764,805.92/294,687.46
  6. Step 6: Final answer
    x = 280,414.93

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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.