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Finding the Fourth Proportional to 429,494.08, 644,324.13 and 163,233.84

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Solution

The fourth proportional to 429,494.08, 644,324.13 and 163,233.84 is: 244,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,494.08 : 644,324.13 = 163,233.84 : x
  2. Step 2: Convert to fraction form
    429,494.08/644,324.13 = 163,233.84/x
  3. Step 3: Cross multiply
    429,494.08x = 644,324.13 × 163,233.84
  4. Step 4: Simplify right side
    429,494.08x = 105,175,501,944.56
  5. Step 5: Solve for x
    x = 105,175,501,944.56/429,494.08
  6. Step 6: Final answer
    x = 244,882.31

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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.