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Finding the Fourth Proportional to 446,033.28, 669,181.14 and 179,656.68

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Solution

The fourth proportional to 446,033.28, 669,181.14 and 179,656.68 is: 269,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,033.28 : 669,181.14 = 179,656.68 : x
  2. Step 2: Convert to fraction form
    446,033.28/669,181.14 = 179,656.68/x
  3. Step 3: Cross multiply
    446,033.28x = 669,181.14 × 179,656.68
  4. Step 4: Simplify right side
    446,033.28x = 120,222,861,931.02
  5. Step 5: Solve for x
    x = 120,222,861,931.02/446,033.28
  6. Step 6: Final answer
    x = 269,537.87

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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.