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Finding the Fourth Proportional to 392,528.82, 541,688.22 and 220,422.84

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Solution

The fourth proportional to 392,528.82, 541,688.22 and 220,422.84 is: 304,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,528.82 : 541,688.22 = 220,422.84 : x
  2. Step 2: Convert to fraction form
    392,528.82/541,688.22 = 220,422.84/x
  3. Step 3: Cross multiply
    392,528.82x = 541,688.22 × 220,422.84
  4. Step 4: Simplify right side
    392,528.82x = 119,400,455,846.95
  5. Step 5: Solve for x
    x = 119,400,455,846.95/392,528.82
  6. Step 6: Final answer
    x = 304,182.65

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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.