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Finding the Fourth Proportional to 272,939.80, 409,409.70 and 193,624.60

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Solution

The fourth proportional to 272,939.80, 409,409.70 and 193,624.60 is: 290,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,939.80 : 409,409.70 = 193,624.60 : x
  2. Step 2: Convert to fraction form
    272,939.80/409,409.70 = 193,624.60/x
  3. Step 3: Cross multiply
    272,939.80x = 409,409.70 × 193,624.60
  4. Step 4: Simplify right side
    272,939.80x = 79,271,789,398.62
  5. Step 5: Solve for x
    x = 79,271,789,398.62/272,939.80
  6. Step 6: Final answer
    x = 290,436.90

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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.