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Finding the Fourth Proportional to 446,053.64, 669,744.75 and 180,333.14

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Solution

The fourth proportional to 446,053.64, 669,744.75 and 180,333.14 is: 270,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,053.64 : 669,744.75 = 180,333.14 : x
  2. Step 2: Convert to fraction form
    446,053.64/669,744.75 = 180,333.14/x
  3. Step 3: Cross multiply
    446,053.64x = 669,744.75 × 180,333.14
  4. Step 4: Simplify right side
    446,053.64x = 120,777,171,093.54
  5. Step 5: Solve for x
    x = 120,777,171,093.54/446,053.64
  6. Step 6: Final answer
    x = 270,768.27

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1.5x scale

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.