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Finding the Fourth Proportional to 299,273.87, 412,985.09 and 163,304.44

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Solution

The fourth proportional to 299,273.87, 412,985.09 and 163,304.44 is: 225,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,273.87 : 412,985.09 = 163,304.44 : x
  2. Step 2: Convert to fraction form
    299,273.87/412,985.09 = 163,304.44/x
  3. Step 3: Cross multiply
    299,273.87x = 412,985.09 × 163,304.44
  4. Step 4: Simplify right side
    299,273.87x = 67,442,298,226.60
  5. Step 5: Solve for x
    x = 67,442,298,226.60/299,273.87
  6. Step 6: Final answer
    x = 225,353.11

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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.