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Finding the Fourth Proportional to 322,499.14, 483,748.71 and 266,978.50

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Solution

The fourth proportional to 322,499.14, 483,748.71 and 266,978.50 is: 400,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,499.14 : 483,748.71 = 266,978.50 : x
  2. Step 2: Convert to fraction form
    322,499.14/483,748.71 = 266,978.50/x
  3. Step 3: Cross multiply
    322,499.14x = 483,748.71 × 266,978.50
  4. Step 4: Simplify right side
    322,499.14x = 129,150,504,972.74
  5. Step 5: Solve for x
    x = 129,150,504,972.74/322,499.14
  6. Step 6: Final answer
    x = 400,467.75

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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.