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Finding the Fourth Proportional to 344,004.80, 516,007.20 and 166,857.80

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Solution

The fourth proportional to 344,004.80, 516,007.20 and 166,857.80 is: 250,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,004.80 : 516,007.20 = 166,857.80 : x
  2. Step 2: Convert to fraction form
    344,004.80/516,007.20 = 166,857.80/x
  3. Step 3: Cross multiply
    344,004.80x = 516,007.20 × 166,857.80
  4. Step 4: Simplify right side
    344,004.80x = 86,099,826,176.16
  5. Step 5: Solve for x
    x = 86,099,826,176.16/344,004.80
  6. Step 6: Final answer
    x = 250,286.70

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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.