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Finding the Fourth Proportional to 275,722.40, 412,892.40 and 220,426.40

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Solution

The fourth proportional to 275,722.40, 412,892.40 and 220,426.40 is: 330,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.40 : 412,892.40 = 220,426.40 : x
  2. Step 2: Convert to fraction form
    275,722.40/412,892.40 = 220,426.40/x
  3. Step 3: Cross multiply
    275,722.40x = 412,892.40 × 220,426.40
  4. Step 4: Simplify right side
    275,722.40x = 91,012,385,319.36
  5. Step 5: Solve for x
    x = 91,012,385,319.36/275,722.40
  6. Step 6: Final answer
    x = 330,087.02

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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.