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Finding the Fourth Proportional to 392,296.66, 541,353.45 and 222,527.14

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Solution

The fourth proportional to 392,296.66, 541,353.45 and 222,527.14 is: 307,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,296.66 : 541,353.45 = 222,527.14 : x
  2. Step 2: Convert to fraction form
    392,296.66/541,353.45 = 222,527.14/x
  3. Step 3: Cross multiply
    392,296.66x = 541,353.45 × 222,527.14
  4. Step 4: Simplify right side
    392,296.66x = 120,465,834,957.63
  5. Step 5: Solve for x
    x = 120,465,834,957.63/392,296.66
  6. Step 6: Final answer
    x = 307,078.41

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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.