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Finding the Fourth Proportional to 422,463.78, 633,841.47 and 264,504.06

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Solution

The fourth proportional to 422,463.78, 633,841.47 and 264,504.06 is: 396,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,463.78 : 633,841.47 = 264,504.06 : x
  2. Step 2: Convert to fraction form
    422,463.78/633,841.47 = 264,504.06/x
  3. Step 3: Cross multiply
    422,463.78x = 633,841.47 × 264,504.06
  4. Step 4: Simplify right side
    422,463.78x = 167,653,642,211.37
  5. Step 5: Solve for x
    x = 167,653,642,211.37/422,463.78
  6. Step 6: Final answer
    x = 396,847.38

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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.