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Finding the Fourth Proportional to 392,287.50, 541,356.75 and 213,439.50

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Solution

The fourth proportional to 392,287.50, 541,356.75 and 213,439.50 is: 294,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,287.50 : 541,356.75 = 213,439.50 : x
  2. Step 2: Convert to fraction form
    392,287.50/541,356.75 = 213,439.50/x
  3. Step 3: Cross multiply
    392,287.50x = 541,356.75 × 213,439.50
  4. Step 4: Simplify right side
    392,287.50x = 115,546,914,041.63
  5. Step 5: Solve for x
    x = 115,546,914,041.63/392,287.50
  6. Step 6: Final answer
    x = 294,546.51

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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.