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Finding the Fourth Proportional to 363,678.54, 501,840.42 and 202,548.56

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Solution

The fourth proportional to 363,678.54, 501,840.42 and 202,548.56 is: 279,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,678.54 : 501,840.42 = 202,548.56 : x
  2. Step 2: Convert to fraction form
    363,678.54/501,840.42 = 202,548.56/x
  3. Step 3: Cross multiply
    363,678.54x = 501,840.42 × 202,548.56
  4. Step 4: Simplify right side
    363,678.54x = 101,647,054,420.80
  5. Step 5: Solve for x
    x = 101,647,054,420.80/363,678.54
  6. Step 6: Final answer
    x = 279,496.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.