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Finding the Fourth Proportional to 378,004.80, 567,007.20 and 218,353.80

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Solution

The fourth proportional to 378,004.80, 567,007.20 and 218,353.80 is: 327,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,004.80 : 567,007.20 = 218,353.80 : x
  2. Step 2: Convert to fraction form
    378,004.80/567,007.20 = 218,353.80/x
  3. Step 3: Cross multiply
    378,004.80x = 567,007.20 × 218,353.80
  4. Step 4: Simplify right side
    378,004.80x = 123,808,176,747.36
  5. Step 5: Solve for x
    x = 123,808,176,747.36/378,004.80
  6. Step 6: Final answer
    x = 327,530.70

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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.