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Finding the Fourth Proportional to 398,014.50, 597,042.26 and 113,682.63

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Solution

The fourth proportional to 398,014.50, 597,042.26 and 113,682.63 is: 170,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,014.50 : 597,042.26 = 113,682.63 : x
  2. Step 2: Convert to fraction form
    398,014.50/597,042.26 = 113,682.63/x
  3. Step 3: Cross multiply
    398,014.50x = 597,042.26 × 113,682.63
  4. Step 4: Simplify right side
    398,014.50x = 67,873,334,337.94
  5. Step 5: Solve for x
    x = 67,873,334,337.94/398,014.50
  6. Step 6: Final answer
    x = 170,529.80

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