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Finding the Fourth Proportional to 361,054.06, 498,097.74 and 217,734.46

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Solution

The fourth proportional to 361,054.06, 498,097.74 and 217,734.46 is: 300,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,054.06 : 498,097.74 = 217,734.46 : x
  2. Step 2: Convert to fraction form
    361,054.06/498,097.74 = 217,734.46/x
  3. Step 3: Cross multiply
    361,054.06x = 498,097.74 × 217,734.46
  4. Step 4: Simplify right side
    361,054.06x = 108,453,042,446.12
  5. Step 5: Solve for x
    x = 108,453,042,446.12/361,054.06
  6. Step 6: Final answer
    x = 300,378.96

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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.