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Finding the Fourth Proportional to 395,470.59, 545,748.94 and 214,182.41

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Solution

The fourth proportional to 395,470.59, 545,748.94 and 214,182.41 is: 295,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,470.59 : 545,748.94 = 214,182.41 : x
  2. Step 2: Convert to fraction form
    395,470.59/545,748.94 = 214,182.41/x
  3. Step 3: Cross multiply
    395,470.59x = 545,748.94 × 214,182.41
  4. Step 4: Simplify right side
    395,470.59x = 116,889,823,832.97
  5. Step 5: Solve for x
    x = 116,889,823,832.97/395,470.59
  6. Step 6: Final answer
    x = 295,571.47

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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.