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Finding the Fourth Proportional to 398,151.73, 597,227.58 and 113,840.02

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Solution

The fourth proportional to 398,151.73, 597,227.58 and 113,840.02 is: 170,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,151.73 : 597,227.58 = 113,840.02 : x
  2. Step 2: Convert to fraction form
    398,151.73/597,227.58 = 113,840.02/x
  3. Step 3: Cross multiply
    398,151.73x = 597,227.58 × 113,840.02
  4. Step 4: Simplify right side
    398,151.73x = 67,988,399,558.43
  5. Step 5: Solve for x
    x = 67,988,399,558.43/398,151.73
  6. Step 6: Final answer
    x = 170,760.03

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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.