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Finding the Fourth Proportional to 321,734.82, 482,605.92 and 97,097.22

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Solution

The fourth proportional to 321,734.82, 482,605.92 and 97,097.22 is: 145,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,734.82 : 482,605.92 = 97,097.22 : x
  2. Step 2: Convert to fraction form
    321,734.82/482,605.92 = 97,097.22/x
  3. Step 3: Cross multiply
    321,734.82x = 482,605.92 × 97,097.22
  4. Step 4: Simplify right side
    321,734.82x = 46,859,693,187.54
  5. Step 5: Solve for x
    x = 46,859,693,187.54/321,734.82
  6. Step 6: Final answer
    x = 145,646.94

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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.