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Finding the Fourth Proportional to 484,842.50, 726,758.22 and 271,297.34

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Solution

The fourth proportional to 484,842.50, 726,758.22 and 271,297.34 is: 406,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,842.50 : 726,758.22 = 271,297.34 : x
  2. Step 2: Convert to fraction form
    484,842.50/726,758.22 = 271,297.34/x
  3. Step 3: Cross multiply
    484,842.50x = 726,758.22 × 271,297.34
  4. Step 4: Simplify right side
    484,842.50x = 197,167,571,909.14
  5. Step 5: Solve for x
    x = 197,167,571,909.14/484,842.50
  6. Step 6: Final answer
    x = 406,663.14

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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.