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Finding the Fourth Proportional to 395,446.49, 545,713.41 and 214,154.27

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Solution

The fourth proportional to 395,446.49, 545,713.41 and 214,154.27 is: 295,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,446.49 : 545,713.41 = 214,154.27 : x
  2. Step 2: Convert to fraction form
    395,446.49/545,713.41 = 214,154.27/x
  3. Step 3: Cross multiply
    395,446.49x = 545,713.41 × 214,154.27
  4. Step 4: Simplify right side
    395,446.49x = 116,866,856,947.76
  5. Step 5: Solve for x
    x = 116,866,856,947.76/395,446.49
  6. Step 6: Final answer
    x = 295,531.41

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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.