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Finding the Fourth Proportional to 511,950.20, 766,946.10 and 275,214.20

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Solution

The fourth proportional to 511,950.20, 766,946.10 and 275,214.20 is: 412,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,950.20 : 766,946.10 = 275,214.20 : x
  2. Step 2: Convert to fraction form
    511,950.20/766,946.10 = 275,214.20/x
  3. Step 3: Cross multiply
    511,950.20x = 766,946.10 × 275,214.20
  4. Step 4: Simplify right side
    511,950.20x = 211,074,457,354.62
  5. Step 5: Solve for x
    x = 211,074,457,354.62/511,950.20
  6. Step 6: Final answer
    x = 412,294.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.