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Finding the Fourth Proportional to 324,070.82, 447,150.97 and 186,223.12

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Solution

The fourth proportional to 324,070.82, 447,150.97 and 186,223.12 is: 256,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,070.82 : 447,150.97 = 186,223.12 : x
  2. Step 2: Convert to fraction form
    324,070.82/447,150.97 = 186,223.12/x
  3. Step 3: Cross multiply
    324,070.82x = 447,150.97 × 186,223.12
  4. Step 4: Simplify right side
    324,070.82x = 83,269,847,813.31
  5. Step 5: Solve for x
    x = 83,269,847,813.31/324,070.82
  6. Step 6: Final answer
    x = 256,949.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.