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Finding the Fourth Proportional to 329,804.40, 494,123.40 and 279,649.20

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Solution

The fourth proportional to 329,804.40, 494,123.40 and 279,649.20 is: 418,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,804.40 : 494,123.40 = 279,649.20 : x
  2. Step 2: Convert to fraction form
    329,804.40/494,123.40 = 279,649.20/x
  3. Step 3: Cross multiply
    329,804.40x = 494,123.40 × 279,649.20
  4. Step 4: Simplify right side
    329,804.40x = 138,181,213,511.28
  5. Step 5: Solve for x
    x = 138,181,213,511.28/329,804.40
  6. Step 6: Final answer
    x = 418,979.29

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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.