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Finding the Fourth Proportional to 398,561.44, 597,984.72 and 170,761.36

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Solution

The fourth proportional to 398,561.44, 597,984.72 and 170,761.36 is: 256,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,561.44 : 597,984.72 = 170,761.36 : x
  2. Step 2: Convert to fraction form
    398,561.44/597,984.72 = 170,761.36/x
  3. Step 3: Cross multiply
    398,561.44x = 597,984.72 × 170,761.36
  4. Step 4: Simplify right side
    398,561.44x = 102,112,684,046.42
  5. Step 5: Solve for x
    x = 102,112,684,046.42/398,561.44
  6. Step 6: Final answer
    x = 256,203.12

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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.