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Finding the Fourth Proportional to 309,552.82, 464,351.30 and 107,064.97

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Solution

The fourth proportional to 309,552.82, 464,351.30 and 107,064.97 is: 160,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,552.82 : 464,351.30 = 107,064.97 : x
  2. Step 2: Convert to fraction form
    309,552.82/464,351.30 = 107,064.97/x
  3. Step 3: Cross multiply
    309,552.82x = 464,351.30 × 107,064.97
  4. Step 4: Simplify right side
    309,552.82x = 49,715,758,003.96
  5. Step 5: Solve for x
    x = 49,715,758,003.96/309,552.82
  6. Step 6: Final answer
    x = 160,605.09

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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.