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Finding the Fourth Proportional to 310,538.39, 465,906.04 and 110,854.49

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Solution

The fourth proportional to 310,538.39, 465,906.04 and 110,854.49 is: 166,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,538.39 : 465,906.04 = 110,854.49 : x
  2. Step 2: Convert to fraction form
    310,538.39/465,906.04 = 110,854.49/x
  3. Step 3: Cross multiply
    310,538.39x = 465,906.04 × 110,854.49
  4. Step 4: Simplify right side
    310,538.39x = 51,647,773,845.45
  5. Step 5: Solve for x
    x = 51,647,773,845.45/310,538.39
  6. Step 6: Final answer
    x = 166,316.88

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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.