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Finding the Fourth Proportional to 509,267.44, 763,720.53 and 149,338.27

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Solution

The fourth proportional to 509,267.44, 763,720.53 and 149,338.27 is: 223,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,267.44 : 763,720.53 = 149,338.27 : x
  2. Step 2: Convert to fraction form
    509,267.44/763,720.53 = 149,338.27/x
  3. Step 3: Cross multiply
    509,267.44x = 763,720.53 × 149,338.27
  4. Step 4: Simplify right side
    509,267.44x = 114,052,702,713.68
  5. Step 5: Solve for x
    x = 114,052,702,713.68/509,267.44
  6. Step 6: Final answer
    x = 223,954.44

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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.