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Finding the Fourth Proportional to 388,257.16, 535,793.80 and 218,491.30

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Solution

The fourth proportional to 388,257.16, 535,793.80 and 218,491.30 is: 301,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,257.16 : 535,793.80 = 218,491.30 : x
  2. Step 2: Convert to fraction form
    388,257.16/535,793.80 = 218,491.30/x
  3. Step 3: Cross multiply
    388,257.16x = 535,793.80 × 218,491.30
  4. Step 4: Simplify right side
    388,257.16x = 117,066,283,893.94
  5. Step 5: Solve for x
    x = 117,066,283,893.94/388,257.16
  6. Step 6: Final answer
    x = 301,517.39

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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.