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Finding the Fourth Proportional to 312,770.96, 469,159.00 and 204,791.36

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Solution

The fourth proportional to 312,770.96, 469,159.00 and 204,791.36 is: 307,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,770.96 : 469,159.00 = 204,791.36 : x
  2. Step 2: Convert to fraction form
    312,770.96/469,159.00 = 204,791.36/x
  3. Step 3: Cross multiply
    312,770.96x = 469,159.00 × 204,791.36
  4. Step 4: Simplify right side
    312,770.96x = 96,079,711,054.98
  5. Step 5: Solve for x
    x = 96,079,711,054.98/312,770.96
  6. Step 6: Final answer
    x = 307,188.72

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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.