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Finding the Fourth Proportional to 397,251.46, 548,200.41 and 215,967.94

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Solution

The fourth proportional to 397,251.46, 548,200.41 and 215,967.94 is: 298,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,251.46 : 548,200.41 = 215,967.94 : x
  2. Step 2: Convert to fraction form
    397,251.46/548,200.41 = 215,967.94/x
  3. Step 3: Cross multiply
    397,251.46x = 548,200.41 × 215,967.94
  4. Step 4: Simplify right side
    397,251.46x = 118,393,713,254.86
  5. Step 5: Solve for x
    x = 118,393,713,254.86/397,251.46
  6. Step 6: Final answer
    x = 298,032.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.