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Finding the Fourth Proportional to 398,451.88, 597,684.30 and 114,141.32

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Solution

The fourth proportional to 398,451.88, 597,684.30 and 114,141.32 is: 171,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,451.88 : 597,684.30 = 114,141.32 : x
  2. Step 2: Convert to fraction form
    398,451.88/597,684.30 = 114,141.32/x
  3. Step 3: Cross multiply
    398,451.88x = 597,684.30 × 114,141.32
  4. Step 4: Simplify right side
    398,451.88x = 68,220,475,977.73
  5. Step 5: Solve for x
    x = 68,220,475,977.73/398,451.88
  6. Step 6: Final answer
    x = 171,213.84

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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.