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Finding the Fourth Proportional to 446,541.72, 669,834.44 and 180,269

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Solution

The fourth proportional to 446,541.72, 669,834.44 and 180,269 is: 270,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,541.72 : 669,834.44 = 180,269 : x
  2. Step 2: Convert to fraction form
    446,541.72/669,834.44 = 180,269/x
  3. Step 3: Cross multiply
    446,541.72x = 669,834.44 × 180,269
  4. Step 4: Simplify right side
    446,541.72x = 120,750,384,664.36
  5. Step 5: Solve for x
    x = 120,750,384,664.36/446,541.72
  6. Step 6: Final answer
    x = 270,412.32

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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.