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Finding the Fourth Proportional to 297,857.04, 411,046.87 and 161,890.94

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Solution

The fourth proportional to 297,857.04, 411,046.87 and 161,890.94 is: 223,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,857.04 : 411,046.87 = 161,890.94 : x
  2. Step 2: Convert to fraction form
    297,857.04/411,046.87 = 161,890.94/x
  3. Step 3: Cross multiply
    297,857.04x = 411,046.87 × 161,890.94
  4. Step 4: Simplify right side
    297,857.04x = 66,544,764,168.36
  5. Step 5: Solve for x
    x = 66,544,764,168.36/297,857.04
  6. Step 6: Final answer
    x = 223,411.76

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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.