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Finding the Fourth Proportional to 394,247.46, 590,978.15 and 166,600.49

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Solution

The fourth proportional to 394,247.46, 590,978.15 and 166,600.49 is: 249,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,247.46 : 590,978.15 = 166,600.49 : x
  2. Step 2: Convert to fraction form
    394,247.46/590,978.15 = 166,600.49/x
  3. Step 3: Cross multiply
    394,247.46x = 590,978.15 × 166,600.49
  4. Step 4: Simplify right side
    394,247.46x = 98,457,249,464.12
  5. Step 5: Solve for x
    x = 98,457,249,464.12/394,247.46
  6. Step 6: Final answer
    x = 249,734.65

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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.