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Finding the Fourth Proportional to 389,259.27, 537,196.46 and 219,489.75

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Solution

The fourth proportional to 389,259.27, 537,196.46 and 219,489.75 is: 302,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,259.27 : 537,196.46 = 219,489.75 : x
  2. Step 2: Convert to fraction form
    389,259.27/537,196.46 = 219,489.75/x
  3. Step 3: Cross multiply
    389,259.27x = 537,196.46 × 219,489.75
  4. Step 4: Simplify right side
    389,259.27x = 117,909,115,608.84
  5. Step 5: Solve for x
    x = 117,909,115,608.84/389,259.27
  6. Step 6: Final answer
    x = 302,906.38

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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.