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Finding the Fourth Proportional to 392,035.20, 541,130.40 and 311,605.44

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Solution

The fourth proportional to 392,035.20, 541,130.40 and 311,605.44 is: 430,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,035.20 : 541,130.40 = 311,605.44 : x
  2. Step 2: Convert to fraction form
    392,035.20/541,130.40 = 311,605.44/x
  3. Step 3: Cross multiply
    392,035.20x = 541,130.40 × 311,605.44
  4. Step 4: Simplify right side
    392,035.20x = 168,619,176,389.38
  5. Step 5: Solve for x
    x = 168,619,176,389.38/392,035.20
  6. Step 6: Final answer
    x = 430,112.34

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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.