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Finding the Fourth Proportional to 392,023.92, 541,158.15 and 264,871.74

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Solution

The fourth proportional to 392,023.92, 541,158.15 and 264,871.74 is: 365,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,023.92 : 541,158.15 = 264,871.74 : x
  2. Step 2: Convert to fraction form
    392,023.92/541,158.15 = 264,871.74/x
  3. Step 3: Cross multiply
    392,023.92x = 541,158.15 × 264,871.74
  4. Step 4: Simplify right side
    392,023.92x = 143,337,500,805.68
  5. Step 5: Solve for x
    x = 143,337,500,805.68/392,023.92
  6. Step 6: Final answer
    x = 365,634.58

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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.