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Finding the Fourth Proportional to 361,059.06, 498,104.64 and 217,739.46

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Solution

The fourth proportional to 361,059.06, 498,104.64 and 217,739.46 is: 300,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,059.06 : 498,104.64 = 217,739.46 : x
  2. Step 2: Convert to fraction form
    361,059.06/498,104.64 = 217,739.46/x
  3. Step 3: Cross multiply
    361,059.06x = 498,104.64 × 217,739.46
  4. Step 4: Simplify right side
    361,059.06x = 108,457,035,337.09
  5. Step 5: Solve for x
    x = 108,457,035,337.09/361,059.06
  6. Step 6: Final answer
    x = 300,385.86

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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.