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Finding the Fourth Proportional to 444,978.94, 667,468.02 and 178,739.50

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Solution

The fourth proportional to 444,978.94, 667,468.02 and 178,739.50 is: 268,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,978.94 : 667,468.02 = 178,739.50 : x
  2. Step 2: Convert to fraction form
    444,978.94/667,468.02 = 178,739.50/x
  3. Step 3: Cross multiply
    444,978.94x = 667,468.02 × 178,739.50
  4. Step 4: Simplify right side
    444,978.94x = 119,302,900,160.79
  5. Step 5: Solve for x
    x = 119,302,900,160.79/444,978.94
  6. Step 6: Final answer
    x = 268,109.09

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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.