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Finding the Fourth Proportional to 416,771.46, 575,144.56 and 225,784.80

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Solution

The fourth proportional to 416,771.46, 575,144.56 and 225,784.80 is: 311,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,771.46 : 575,144.56 = 225,784.80 : x
  2. Step 2: Convert to fraction form
    416,771.46/575,144.56 = 225,784.80/x
  3. Step 3: Cross multiply
    416,771.46x = 575,144.56 × 225,784.80
  4. Step 4: Simplify right side
    416,771.46x = 129,858,899,450.69
  5. Step 5: Solve for x
    x = 129,858,899,450.69/416,771.46
  6. Step 6: Final answer
    x = 311,582.99

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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.