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Finding the Fourth Proportional to 416,200.53, 574,358.24 and 225,213.92

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Solution

The fourth proportional to 416,200.53, 574,358.24 and 225,213.92 is: 310,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,200.53 : 574,358.24 = 225,213.92 : x
  2. Step 2: Convert to fraction form
    416,200.53/574,358.24 = 225,213.92/x
  3. Step 3: Cross multiply
    416,200.53x = 574,358.24 × 225,213.92
  4. Step 4: Simplify right side
    416,200.53x = 129,353,470,559.79
  5. Step 5: Solve for x
    x = 129,353,470,559.79/416,200.53
  6. Step 6: Final answer
    x = 310,796.03

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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.