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Finding the Fourth Proportional to 329,147.42, 493,739.55 and 92,471.63

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Solution

The fourth proportional to 329,147.42, 493,739.55 and 92,471.63 is: 138,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,147.42 : 493,739.55 = 92,471.63 : x
  2. Step 2: Convert to fraction form
    329,147.42/493,739.55 = 92,471.63/x
  3. Step 3: Cross multiply
    329,147.42x = 493,739.55 × 92,471.63
  4. Step 4: Simplify right side
    329,147.42x = 45,656,898,515.27
  5. Step 5: Solve for x
    x = 45,656,898,515.27/329,147.42
  6. Step 6: Final answer
    x = 138,712.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.