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Finding the Fourth Proportional to 388,229.70, 535,756.77 and 218,463.96

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Solution

The fourth proportional to 388,229.70, 535,756.77 and 218,463.96 is: 301,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,229.70 : 535,756.77 = 218,463.96 : x
  2. Step 2: Convert to fraction form
    388,229.70/535,756.77 = 218,463.96/x
  3. Step 3: Cross multiply
    388,229.70x = 535,756.77 × 218,463.96
  4. Step 4: Simplify right side
    388,229.70x = 117,043,545,571.01
  5. Step 5: Solve for x
    x = 117,043,545,571.01/388,229.70
  6. Step 6: Final answer
    x = 301,480.14

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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.