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Finding the Fourth Proportional to 536,298.20, 804,209.70 and 181,215.80

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Solution

The fourth proportional to 536,298.20, 804,209.70 and 181,215.80 is: 271,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,298.20 : 804,209.70 = 181,215.80 : x
  2. Step 2: Convert to fraction form
    536,298.20/804,209.70 = 181,215.80/x
  3. Step 3: Cross multiply
    536,298.20x = 804,209.70 × 181,215.80
  4. Step 4: Simplify right side
    536,298.20x = 145,735,504,153.26
  5. Step 5: Solve for x
    x = 145,735,504,153.26/536,298.20
  6. Step 6: Final answer
    x = 271,743.41

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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.